2472417504 has 72 divisors (see below), whose sum is σ = 7273407960. Its totient is φ = 795717888.

The previous prime is 2472417487. The next prime is 2472417523. The reversal of 2472417504 is 4057142742.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2472417504² = 12225696628171180032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139662 + ... + 156365.

It is an arithmetic number, because the mean of its divisors is an integer number (101019555).

Almost surely, 2^2472417504 is an apocalyptic number.

2472417504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2472417504 is an abundant number, since it is smaller than the sum of its proper divisors (4800990456).

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

2472417504 is a wasteful number, since it uses less digits than its factorization.

2472417504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296072 (or 296061 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 2472417504 is about 49723.4100198287. The cubic root of 2472417504 is about 1352.1989775187.

The spelling of 2472417504 in words is "two billion, four hundred seventy-two million, four hundred seventeen thousand, five hundred four".