2008 Pascal Problem 20

Four of the six numbers 1867, 1993, 2019, 2025, 2109, and 2121 have a mean (average) of 2008. What is the mean (average) of the other two numbers?

\textbf{(A)}\ 1994\quad \textbf{(B)}\ 2006\quad \textbf{(C)}\ 2022\quad \textbf{(D)}\ 2051\quad \textbf{(E)}\ 2064

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.