https://en.wikipedia.org/wiki/Predictions_made_by_Ray_Kurzweil
Post-2045: "Waking up" the Universe
The physical bottom limit to how small computer transistors (or other equivalent, albeit more effective components, such as memristors integrated into Crossbar latches) can be shrunk is reached. From this moment onwards, computers can only be made more powerful if they are made larger in size.
Because of this, A.I.s convert more and more of the Earth's matter into engineered, computational substrate capable of supporting more A.I.s. until the whole Earth is one, gigantic computer, except for a few nature reserves set aside on the planetary surface for those humans who decided to remain in their natural state. "MOSH's" (Mostly Original Substrate Human) who choose to remain purely organic would still possess virtual assistants that will act as their transcendent servants, living in the blurred real world ("foglet-reality") and being provided with environments and everything they could possibly need as they live out the rest of their normal lives unless they enhance themselves.
At this point, the only possible way to increase the intelligence of the machines any farther is to begin converting all of the matter and energy in the universe into similar massive computers. A.I.s radiate outward from Earth, first into the Solar System and then out into interstellar space, then galaxies in all directions, utilizing starships that are Von Neumann probes with nanobot crews, breaking down whole planets, stars, moons, and meteoroids and reassembling them into computers. This, in effect, "wakes up" the universe as all the inanimate "dumb" matter (rocks, dust, gases, etc.) is converted into structured matter capable of supporting life (albeit synthetic life).
Kurzweil predicts that machines might have the ability to make planet-sized computers by 2099, which underscores how enormously technology will advance after the Singularity.
The process of "waking up" the universe could be completed well before the end of the 22nd century, provided humans are not limited by the speed of light.
With the entire universe made into a giant, highly efficient supercomputer, AI and human hybrids (so integrated that, in truth it is a new category of "life") would have both supreme intelligence and physical control over the universe. Humanity will still not possess infinite levels of any attributes, as the accelerating change of evolution never reaches an infinite measure (though it moves rapidly in that direction), becoming, as Kurzweil writes, "moving inexorably toward this monotheistic conception of God, though never reaching this ideal"; even with theories such as the holographic universe. The final chapter however notes that, if possible, the ability to create and colonize other universes (and if there is a way to do this, humanity's vast intelligence is likely to harness it, as with surpassing/bypassing the speed of light) could allow the intelligence of the human/machine civilization to extend indefinitely, akin to a mathematical singularity. If not, then saturating humanity's own universe will remain their ultimate fate.