The numbers which contain only even digits in their decimal representations are written in ascending order such that \[2,4,6,8,20,22,24,26,28,40,42,\dots\] What is the $2014^{\text{th}}$ number in that sequence?

$ 
\textbf{(A)}\ 66480
\qquad\textbf{(B)}\ 64096
\qquad\textbf{(C)}\ 62048
\qquad\textbf{(D)}\ 60288
\qquad\textbf{(E)}\ \text{None of the preceding}
$