2.8 billion years[0] is the high estimate before _all_ remaining life on earth goes extinct. Likely including these little buggers.
[0] https://en.wikipedia.org/wiki/Timeline_of_the_far_future
[0] https://en.wikipedia.org/wiki/Timeline_of_the_far_future
note that that list is all negative things we suspect will happen and include no accounting for our own intervention in matters
I could foresee maybe a sun shade of some sort to help mitigate the increase in temperature, but at some point the sun is going to envelope the earth.
Also, this several billion years into the future. Anyone left wouldn't be anything you could remotely call human. Evolution hasn't stopped in humans.