2472664000 has 56 divisors (see below), whose sum is σ = 6123572208. Its totient is φ = 989062400.

The previous prime is 2472663997. The next prime is 2472664003. The reversal of 2472664000 is 4662742.

It is an interprime number because it is at equal distance from previous prime (2472663997) and next prime (2472664003).

It is a super-2 number, since 2×2472664000² = 12228134513792000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472664003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146542 + ... + 162541.

Almost surely, 2^2472664000 is an apocalyptic number.

2472664000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2472664000 is an abundant number, since it is smaller than the sum of its proper divisors (3650908208).

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

2472664000 is an equidigital number, since it uses as much as digits as its factorization.

2472664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309110 (or 309090 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2472664000 is about 49725.8886295660. Note that the first 3 decimals coincide. The cubic root of 2472664000 is about 1352.2439133709.

The spelling of 2472664000 in words is "two billion, four hundred seventy-two million, six hundred sixty-four thousand".