2517920 has 24 divisors (see below), whose sum is σ = 5948964. Its totient is φ = 1007104.

The previous prime is 2517919. The next prime is 2517929. The reversal of 2517920 is 297152.

It can be written as a sum of positive squares in 2 ways, for example, as 2446096 + 71824 = 1564^2 + 268^2 .

It is a super-2 number, since 2×2517920² = 12679842252800, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2517920.

It is not an unprimeable number, because it can be changed into a prime (2517929) 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, 7709 + ... + 8028.

2^2517920 is an apocalyptic number.

2517920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2517920 is an abundant number, since it is smaller than the sum of its proper divisors (3431044).

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

2517920 is a wasteful number, since it uses less digits than its factorization.

2517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15752 (or 15744 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 2517920 is about 1586.7955129758. The cubic root of 2517920 is about 136.0443915064.

The spelling of 2517920 in words is "two million, five hundred seventeen thousand, nine hundred twenty".