CONO-SUR 2019 Problem 2

We say that a positive integer $M$ with $2n$ digits is hypersquared if the following three conditions are met:

• $M$ is a perfect square.
• The number formed by the first $n$ digits of $M$ is a perfect square.
• The number formed by the last $n$ digits of $M$ is a perfect square and has exactly $n$ digits (its first digit is not zero).

Find a hypersquared number with $2000$ digits.