2523045888 has 448 divisors, whose sum is σ = 8776045440. Its totient is φ = 707788800.

The previous prime is 2523045883. The next prime is 2523045893. The reversal of 2523045888 is 8885403252.

2523045888 is a `hidden beast` number, since 2 + 523 + 0 + 45 + 8 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2523045883) and next prime (2523045893).

It is not an unprimeable number, because it can be changed into a prime (2523045883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41361378 + ... + 41361438.

Almost surely, 2^2523045888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523045888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388022720).

2523045888 is an abundant number, since it is smaller than the sum of its proper divisors (6252999552).

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

2523045888 is a wasteful number, since it uses less digits than its factorization.

2523045888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 2523045888 is about 50229.9302010266. The cubic root of 2523045888 is about 1361.3664697072.

The spelling of 2523045888 in words is "two billion, five hundred twenty-three million, forty-five thousand, eight hundred eighty-eight".