Jacob wants to retire one day with $$2$ million. He just started his new job making $$7,400$ every month. Jacob is excited that interest rates are so high now that he intends to invest the $$19,000$ from his prior job's $401(k)$ and purchase $30-$year Treasury bonds that pay $1\mathrm{.}375\%$ per quarter $($assume he can continue to earn the same rate on additional savings while working$).$ At the end of $30$ years, he hopes to retire. If Jacob is paid once each month, how much must he save each month to reach his goal?