2523037440 has 864 divisors, whose sum is σ = 10871594496. Its totient is φ = 492011520.

The previous prime is 2523037397. The next prime is 2523037453. The reversal of 2523037440 is 447303252.

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

It is a junction number, because it is equal to n+sod(n) for n = 2523037398 and 2523037407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47604454 + ... + 47604506.

It is an arithmetic number, because the mean of its divisors is an integer number (12582864).

Almost surely, 2^2523037440 is an apocalyptic number.

2523037440 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 2523037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435797248).

2523037440 is an abundant number, since it is smaller than the sum of its proper divisors (8348557056).

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

2523037440 is a wasteful number, since it uses less digits than its factorization.

2523037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 2523037440 is about 50229.8461076679. The cubic root of 2523037440 is about 1361.3649502690.

The spelling of 2523037440 in words is "two billion, five hundred twenty-three million, thirty-seven thousand, four hundred forty".