2523856320 has 392 divisors, whose sum is σ = 9328099200. Its totient is φ = 649451520.

The previous prime is 2523856297. The next prime is 2523856339. The reversal of 2523856320 is 236583252.

2523856320 is a `hidden beast` number, since 252 + 3 + 85 + 6 + 320 = 666.

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 55 ways as a sum of consecutive naturals, for example, 7231506 + ... + 7231854.

Almost surely, 2^2523856320 is an apocalyptic number.

2523856320 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 2523856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664049600).

2523856320 is an abundant number, since it is smaller than the sum of its proper divisors (6804242880).

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

2523856320 is an equidigital number, since it uses as much as digits as its factorization.

2523856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2523856320 is about 50237.9967753492. The cubic root of 2523856320 is about 1361.5122164079.

The spelling of 2523856320 in words is "two billion, five hundred twenty-three million, eight hundred fifty-six thousand, three hundred twenty".