2525644800 has 864 divisors, whose sum is σ = 11089915200. Its totient is φ = 557383680.

The previous prime is 2525644747. The next prime is 2525644837. The reversal of 2525644800 is 84465252.

It is a happy number.

2525644800 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 644 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 87091186 + ... + 87091214.

It is an arithmetic number, because the mean of its divisors is an integer number (12835550).

Almost surely, 2^2525644800 is an apocalyptic number.

2525644800 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 2525644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544957600).

2525644800 is an abundant number, since it is smaller than the sum of its proper divisors (8564270400).

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

2525644800 is an equidigital number, since it uses as much as digits as its factorization.

2525644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2525644800 is about 50255.7936958516. The cubic root of 2525644800 is about 1361.8337432180.

The spelling of 2525644800 in words is "two billion, five hundred twenty-five million, six hundred forty-four thousand, eight hundred".