2521628928 has 576 divisors, whose sum is σ = 9706547200. Its totient is φ = 627056640.

The previous prime is 2521628917. The next prime is 2521628929. The reversal of 2521628928 is 8298261252.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2521628928² = 12717224901052858368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2521628929) 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, 11950743 + ... + 11950953.

Almost surely, 2^2521628928 is an apocalyptic number.

2521628928 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 2521628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853273600).

2521628928 is an abundant number, since it is smaller than the sum of its proper divisors (7184918272).

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

2521628928 is a wasteful number, since it uses less digits than its factorization.

2521628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2521628928 is about 50215.8234822451. The cubic root of 2521628928 is about 1361.1115710457. Note that the first 3 decimals are identical.

The spelling of 2521628928 in words is "two billion, five hundred twenty-one million, six hundred twenty-eight thousand, nine hundred twenty-eight".