2523340800 has 378 divisors, whose sum is σ = 9289505043. Its totient is φ = 654704640.

The previous prime is 2523340783. The next prime is 2523340843. The reversal of 2523340800 is 80433252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2523340800 is a `hidden beast` number, since 25 + 233 + 408 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2001309696 + 522031104 = 44736^2 + 22848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35520.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68198382 + ... + 68198418.

Almost surely, 2^2523340800 is an apocalyptic number.

2523340800 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 2523340800

2523340800 is an abundant number, since it is smaller than the sum of its proper divisors (6766164243).

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

2523340800 is an equidigital number, since it uses as much as digits as its factorization.

2523340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2523340800 is about 50232.8657354923. The cubic root of 2523340800 is about 1361.4195097871.

The spelling of 2523340800 in words is "two billion, five hundred twenty-three million, three hundred forty thousand, eight hundred".