Everyone knows Y2K (or else you wouldn't be reading past this parentesis), but there's also Y2K38 (32-bit Unix timestamps run out) and the Y292B277M026K596 problem. Why not get rid of these problems through the power of science?
The Planck time, at roughly 5.39106×10-44 seconds, is
the smallest time measurement that will ever be possible. The Universe is, at current reckoning, about power of two, we might as well round up to the nearest - 256 - And have plenty of time. In fact, 256 bits (less than it takes to store your postal address) would be sufficient to store time units until way, way beyond the existence of the human race, or indeed, of the fundamental particles of the universe.