Laura wants to have at least $$2,067,000\mathrm{.}00$ available for her retirement, and she has figured that she can invest $$1,413\mathrm{.}00$ every month into an ordinary annuity earning $5\mathrm{.}59\%$ compounded monthly. For how many months will she have to invest so that she can reach her goal?

$($Note: your answer should be an integer$)$