2. (10 points) Among all positive integers that are multiples of 20, the sum of those not exceeding 2014 and are also multiples of 14 is $\qquad$
2. (10 points) Among all positive integers that are multiples of 20, the sum of those not exceeding 2014 and are also multiples of 14 is $\underline{14700}$.
【Analysis】Among all multiples of 20 not exceeding 2014 and also multiples of 14, the smallest is 140, and the largest is 1960, totaling 14 numbers. Solve using the "Gauss summation" method.
【Solution】Solution: The least common multiple of 20 and 14 is 140. Among all multiples of 20 not exceeding 2014 and also multiples of 14, the smallest is 140, and the largest is 1960, totaling 14 numbers.
$$
\begin{array}{l}
(140+1960) \times 14 \div 2 \\
=2100 \times 14 \div 2 \\
=14700 .
\end{array}
$$

Answer: The sum of all multiples of 20 not exceeding 2014 and also multiples of 14 is 14700.
Therefore, the answer is: 14700.