AMC 12 2020a Problem 8

What is the median of the following list of $4040$ numbers$?$ $$1, 2, 3, \ldots, 2020, 1^2, 2^2, 3^2, \ldots, 2020^2$$

\textbf{(A)}\ 1974.5 \textbf{(B)}\ 1975.5 \textbf{(C)}\ 1976.5 \textbf{(D)}\ 1977.5 \textbf{(E)}\ 1978.5