In honour of 2187

Algebra Level 1

\[(\log_3 2187 - 0)(\log_3 2187 - 1)\cdot \cdot \cdot (\log_3 2187 - 2185)(\log_3 2187 - 2186)\]

Having solved 2187 Brilliant problems as of yesterday, I have decided to create an expression involving 2187 of the number 2187. Evaluate the expression above.