2625956928 has 448 divisors, whose sum is σ = 9363456000. Its totient is φ = 705853440.

The previous prime is 2625956923. The next prime is 2625956947. The reversal of 2625956928 is 8296595262.

2625956928 is a `hidden beast` number, since 2 + 6 + 2 + 59 + 569 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2625956928² = 13791299575422394368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2625956923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17623798 + ... + 17623946.

Almost surely, 2^2625956928 is an apocalyptic number.

2625956928 is a gapful number since it is divisible by the number (28) 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 2625956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681728000).

2625956928 is an abundant number, since it is smaller than the sum of its proper divisors (6737499072).

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

2625956928 is a wasteful number, since it uses less digits than its factorization.

2625956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 2625956928 is about 51244.0916399149. The cubic root of 2625956928 is about 1379.6296927016.

The spelling of 2625956928 in words is "two billion, six hundred twenty-five million, nine hundred fifty-six thousand, nine hundred twenty-eight".