2. (10 points) Among all natural numbers that are multiples of 20, the sum of those not exceeding 3000 and are also multiples of 14 is
32340 .
【Analysis】Among all multiples of 20 that do not exceed 2014 and are also multiples of 14, the smallest is 140, and the largest is 2940, totaling 21. Then, solve using the "Gauss summation" method.

【Solution】Solution: $20=2 \times 2 \times 5$
$$
14=2 \times 7
$$
The least common multiple of 20 and 14 is: $2 \times 2 \times 5 \times 7=140$
$$
\begin{array}{l}
3000 \div 140 \approx 21.4 \\
140 \times 21=2940
\end{array}
$$

So, among all multiples of 20 that do not exceed 3000 and are also multiples of 14, the smallest is 140, and the largest is 2940, totaling 21,
$$
(140+2940) \times 21 \div 2
$$
$$
\begin{array}{l}
=3080 \times 21 \div 2 \\
=32340 .
\end{array}
$$

Answer: Among all natural numbers that are multiples of 20, those that do not exceed 3000 and are also multiples of 14 have a sum of 32340. Therefore, the answer is: 32340 .