2525256000 has 392 divisors, whose sum is σ = 9398059944. Its totient is φ = 671846400.

The previous prime is 2525255987. The next prime is 2525256011. The reversal of 2525256000 is 6525252.

2525256000 is a `hidden beast` number, since 2 + 5 + 2 + 52 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 448084224 + 2077171776 = 21168^2 + 45576^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5831784 + ... + 5832216.

Almost surely, 2^2525256000 is an apocalyptic number.

2525256000 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 2525256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699029972).

2525256000 is an abundant number, since it is smaller than the sum of its proper divisors (6872803944).

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

2525256000 is an frugal number, since it uses more digits than its factorization.

2525256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2525256000 is about 50251.9253362496. The cubic root of 2525256000 is about 1361.7638590005.

The spelling of 2525256000 in words is "two billion, five hundred twenty-five million, two hundred fifty-six thousand".