2506235904 has 168 divisors, whose sum is σ = 7513899120. Its totient is φ = 834748416.

The previous prime is 2506235899. The next prime is 2506235923. The reversal of 2506235904 is 4095326052.

2506235904 is a `hidden beast` number, since 2 + 5 + 0 + 62 + 3 + 590 + 4 = 666.

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 11 ways as a sum of consecutive naturals, for example, 1990027 + ... + 1991285.

It is an arithmetic number, because the mean of its divisors is an integer number (44725590).

Almost surely, 2^2506235904 is an apocalyptic number.

2506235904 is a gapful number since it is divisible by the number (24) 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 2506235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756949560).

2506235904 is an abundant number, since it is smaller than the sum of its proper divisors (5007663216).

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

2506235904 is an frugal number, since it uses more digits than its factorization.

2506235904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2506235904 is about 50062.3202019243. The cubic root of 2506235904 is about 1358.3363278475.

The spelling of 2506235904 in words is "two billion, five hundred six million, two hundred thirty-five thousand, nine hundred four".