Corbin wants to accumulate $$2,500,000$ over the next $30$ years by investing the same amount at the beginning of each month. If he can expect a long$-$term rate of return of $9\mathrm{.}5\%$ compounded annually, how much must he invest each month? $($Do not round intermediate calculations and round your final answer$$to $2$ decimal places.$)$Corbin must invest $ at the beginning of each month.