2. Explanation: How many divisors does the number 360 have? What is the sum of these divisors?
2.【Solution】 $360=2 \times 2 \times 2 \times 3 \times 3 \times 5=2^{3} \times 3^{2} \times 5$

Therefore, 360 has $(3+1) \times(2+1) \times(1+1)=24$ divisors.
The sum of the divisors is
$$
\left(1+2+2^{2}+2^{3}\right) \times\left(1+3+3^{2}\right) \times(1+5)=1170
$$