2523628800 has 648 divisors, whose sum is σ = 11268653760. Its totient is φ = 523468800.

The previous prime is 2523628799. The next prime is 2523628813. The reversal of 2523628800 is 88263252.

2523628800 is a `hidden beast` number, since 2 + 5 + 23 + 628 + 8 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4434916 + ... + 4435484.

Almost surely, 2^2523628800 is an apocalyptic number.

2523628800 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 2523628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634326880).

2523628800 is an abundant number, since it is smaller than the sum of its proper divisors (8745024960).

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

2523628800 is a wasteful number, since it uses less digits than its factorization.

2523628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2523628800 is about 50235.7323028141. The cubic root of 2523628800 is about 1361.4713027518.

It can be divided in two parts, 252362 and 8800, that added together give a palindrome (261162).

The spelling of 2523628800 in words is "two billion, five hundred twenty-three million, six hundred twenty-eight thousand, eight hundred".