The First Computer (~ 87 BCE or over 2,000 years old)

The Antikythera mechanism is an ancient analog computer designed to calculate astronomical positions. It was invented 1,500 years before any other known similar mechanism and the related  technology. 

http://www.math.sunysb.edu/~tony/whatsnew/column/antikytheraI-0400/kyth1.html
http://en.wikipedia.org/wiki/Antikythera_mechanism
http://www.wimp.com/coolfind/
http://www.antikythera-mechanism.com
http://www.guardian.co.uk/science/2012/jun/06/extraordinary-2000-year-old-computer
http://www.theregister.co.uk/2010/12/10/lego_computer/