2523910752 has 288 divisors, whose sum is σ = 8552718720. Its totient is φ = 724101120.

The previous prime is 2523910717. The next prime is 2523910777. The reversal of 2523910752 is 2570193252.

2523910752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2523910752² = 12740250968122411008, 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, 1624408 + ... + 1625960.

It is an arithmetic number, because the mean of its divisors is an integer number (29696940).

Almost surely, 2^2523910752 is an apocalyptic number.

2523910752 is a gapful number since it is divisible by the number (22) 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 2523910752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276359360).

2523910752 is an abundant number, since it is smaller than the sum of its proper divisors (6028807968).

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

2523910752 is a wasteful number, since it uses less digits than its factorization.

2523910752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2523910752 is about 50238.5385137745. The cubic root of 2523910752 is about 1361.5220042472.

The spelling of 2523910752 in words is "two billion, five hundred twenty-three million, nine hundred ten thousand, seven hundred fifty-two".