2506957128 has 384 divisors, whose sum is σ = 8365593600. Its totient is φ = 695920896.

The previous prime is 2506957099. The next prime is 2506957153. The reversal of 2506957128 is 8217596052.

2506957128 is a `hidden beast` number, since 2 + 50 + 6 + 9 + 571 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11043751 + ... + 11043977.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^2506957128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506957128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182796800).

2506957128 is an abundant number, since it is smaller than the sum of its proper divisors (5858636472).

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

2506957128 is a wasteful number, since it uses less digits than its factorization.

2506957128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2506957128 is about 50069.5229456004. The cubic root of 2506957128 is about 1358.4666123111.

The spelling of 2506957128 in words is "two billion, five hundred six million, nine hundred fifty-seven thousand, one hundred twenty-eight".