Find the next number in the series $2,3,6,18,108,...$.

Calculate the next term of the given series:

Given series, $2,3,6,18,108,...$.

It can be observed from the given series that, the numbers can be determined by multiplying two preceding numbers.

$\begin{array}{rcl}2\times 3& =& 6\\ 3\times 6& =& 18\\ 6\times 18& =& 108\end{array}$

Thus, the next term can be found by, $18\times 108=1944$

Therefore, the next term of the given series is $1944$.