How to generalize it?

Number Theory Level 4

Find the largest non-negative integer $n$ such that $2^n$ is a factor $\left\lfloor\sqrt2\right\rfloor\times\left\lfloor\sqrt3\right\rfloor\times\left\lfloor\sqrt4\right\rfloor\times\cdots\times\left\lfloor\sqrt{99}\right\rfloor$