Server CPUs combine with server motherboards and server chassis to provide more capacity and higher reliability. More capacity through the use of multiple CPU chips in multiple sockets along with more DIMM slots, and more reliability through the use of ECC, hot swap expansion cards, redundant power supplies and fans.
I really don't think that a server CPU chip itself is particularly more robust in terms of 24x7 than a desktop chip is, but the total package including things like ECC memory, redundant hot-swap NICs, power supplies and fans means that a server can survive a things that will stop a desktop system dead in it's tracks.
If you don't need the added capacity or reliability, you don't need to buy a server chip, motherboard or enclosure. You may also have the option of providing capacity and reliability through the use of many complete redundant but cheap systems rather than trying to build a few expensive non-stop computers.