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Official Description

The 2038 bug is a problem with the calculation and storage of the dates in the hardware, in which time values are stored or calculated with too "limited" space to contain a date later than 2038 (hence the first name).

The worst case of this bug is more or less the same as that which would have to hit the computer world at 2000 ("Millenium Bug"), but worse, because some tablet/smartphone may no longer work

This App check if your Android device has (or has not) the problem, and it provides useful technical information about this issue.