2523601920 has 352 divisors, whose sum is σ = 9432576000. Its totient is φ = 575619072.

The previous prime is 2523601891. The next prime is 2523601933. The reversal of 2523601920 is 291063252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268241 + ... + 5268719.

Almost surely, 2^2523601920 is an apocalyptic number.

2523601920 is a gapful number since it is divisible by the number (20) 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 2523601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716288000).

2523601920 is an abundant number, since it is smaller than the sum of its proper divisors (6908974080).

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

2523601920 is an equidigital number, since it uses as much as digits as its factorization.

2523601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2523601920 is about 50235.4647634517. The cubic root of 2523601920 is about 1361.4664689085.

The spelling of 2523601920 in words is "two billion, five hundred twenty-three million, six hundred one thousand, nine hundred twenty".