2523124080 has 200 divisors, whose sum is σ = 8794084464. Its totient is φ = 670464000.

The previous prime is 2523124063. The next prime is 2523124157. The reversal of 2523124080 is 804213252.

2523124080 is a `hidden beast` number, since 25 + 231 + 2 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2597995 + ... + 2598965.

Almost surely, 2^2523124080 is an apocalyptic number.

2523124080 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 2523124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397042232).

2523124080 is an abundant number, since it is smaller than the sum of its proper divisors (6270960384).

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

2523124080 is a wasteful number, since it uses less digits than its factorization.

2523124080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2523124080 is about 50230.7085357155. The cubic root of 2523124080 is about 1361.3805329826.

The spelling of 2523124080 in words is "two billion, five hundred twenty-three million, one hundred twenty-four thousand, eighty".