Another answer from our community:
Babel existed in the period of time immediately after the great flood of Noah, but before Abraham was born. This places it in the time period between 2400 BC and 2200 BC.
Genesis 11:1-9 talks of a Tower of Babel being built right up to heaven by the people in their arrogance, and of God punishing the people by dispersing them and making them all speak in different languages. This story was added to Genesis quite late in Jewish history, during the Babylonian Exile. The exiled Jews, who had never before seen a great cosmopolitan city like Babylon, were in awe of the great ziggurut, a pyramid-like tower, and at the same time surprised to meet people who spoke so many different languages. They associated the tower, which seemed to reach to heaven, and the many strange languages, and so developed the story of the Tower of Babel.
This provides conclusive evidence that the "Tower of Babel" existed in the sixth century BCE, and probably for some centuries prior. More than this we can not say.
The Library of Babel was created in 1941.
Southworth Library was created in 1894.
Jagiellonian Library was created in 1364.
Nambu Library was created in 1995.
Robarts Library was created in 1973.
Ellis Library was created in 1839.
After Babel was created in 1975-01.
Babel Rising was created in 2009.
Babel - book - was created in 1978.
News from Babel was created in 1983.
Babel Label was created in 1994.
From Babel to Dragomans was created in 2004.
The Dragons of Babel was created in 2008-01.
Babel One was created on 2005-01-28.
Torre De Babel was created in 2006.
Babel - soundtrack - was created on 2006-11-21.
The Dogs of Babel was created on 2003-06-13.
Journey to Babel was created on 1967-11-17.