2475131904 has 528 divisors, whose sum is σ = 8941296000. Its totient is φ = 682795008.

The previous prime is 2475131899. The next prime is 2475131929. The reversal of 2475131904 is 4091315742.

It is a super-2 number, since 2×2475131904² = 12252555884397330432, 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 47 ways as a sum of consecutive naturals, for example, 85349362 + ... + 85349390.

Almost surely, 2^2475131904 is an apocalyptic number.

2475131904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2475131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470648000).

2475131904 is an abundant number, since it is smaller than the sum of its proper divisors (6466164096).

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

2475131904 is an frugal number, since it uses more digits than its factorization.

2475131904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2475131904 is about 49750.6975227484. The cubic root of 2475131904 is about 1352.6936440415.

The spelling of 2475131904 in words is "two billion, four hundred seventy-five million, one hundred thirty-one thousand, nine hundred four".