You are helping a client, Lucy Pevensie, with some retirement planning. Lucy has determined that she would like to retire in $38$ years, and she estimates that she will need to have saved $$2,182,151$ by the time she retires. She currently has not started saving for this goal and she needs your help determining how much to save and invest each month from now until the time she retires. If she invests her fund to earn an effective annual return of $6\mathrm{.}9\%,$ then how much does she need to save each month to meet her goal by the time she retires?

Enter your answer rounded to the nearest second decimal place. For example, enter $$123\mathrm{.}456$ as $123\mathrm{.}46.$