2. (5 points) The number of different divisors of 60 (excluding 1) is
【Analysis】First, decompose 60 into prime factors, $60=2 \times 2 \times 3 \times 5$, then write it in standard form as $2^{2} \times 3 \times 5$, and use the formula for the number of divisors, which is to add 1 to each of the exponents of the different prime factors and then multiply them, and finally subtract 1 to get the answer.

【Solution】 Decompose 60 into prime factors $60=2 \times 2 \times 3 \times 5$, then write it in standard form as $2^{2} \times 3 \times 5$, and use the formula for the number of divisors, which is to add 1 to each of the exponents of the different prime factors and then multiply them.
The number of different divisors of 60 (excluding 1) is $(2+1) \times(1+1) \times(1+1)-1=11$.
Answer: The answer is 11.