Sam finally started saving for retirement. He only has $29$ years left before he wants to leave the workforce with a balance of $$4,000,000.$ If he can earn $5\mathrm{.}5\%$ on his investments, how much does he need to invest today, assuming that he will NOT add any more funds to his account?

Round your answer to the nearest cent $($$x$.$xx$)$ and show your work.