2517152 has 24 divisors (see below), whose sum is σ = 5406912. Its totient is φ = 1144000.

The previous prime is 2517149. The next prime is 2517157.

It is a happy number.

2517152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2517152² = 12672108382208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2517157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3224 + ... + 3927.

It is an arithmetic number, because the mean of its divisors is an integer number (225288).

2^2517152 is an apocalyptic number.

2517152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2517152 is an abundant number, since it is smaller than the sum of its proper divisors (2889760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2517152 is a wasteful number, since it uses less digits than its factorization.

2517152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7164 counting only the distinct ones).

The product of its digits is 700, while the sum is 23.

The square root of 2517152 is about 1586.5534973646. The cubic root of 2517152 is about 136.0305583005.

The spelling of 2517152 in words is "two million, five hundred seventeen thousand, one hundred fifty-two".