How long did it take to build the tower of babel?

The approximate time of such building may be drawn from the following information: Peleg lived from 2269 to 2030 B.C.E. His name meant "Division," for "in his days the earth [that is, "earth's population"] was divided"; Jehovah "scattered them from there over all the surface of the earth." A text of Sharkalisharri, king of Agade (Accad) in patriarchal times, mentions his restoring a temple-tower at Babylon, implying that such a structure existed prior to his reign.