2505251808 has 48 divisors (see below), whose sum is σ = 7306986960. Its totient is φ = 835083648.

The previous prime is 2505251803. The next prime is 2505251813. The reversal of 2505251808 is 8081525052.

2505251808 is a `hidden beast` number, since 2 + 50 + 525 + 1 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2505251803) and next prime (2505251813).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505251803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1448935 + ... + 1450662.

It is an arithmetic number, because the mean of its divisors is an integer number (152228895).

Almost surely, 2^2505251808 is an apocalyptic number.

It is an amenable number.

2505251808 is an abundant number, since it is smaller than the sum of its proper divisors (4801735152).

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

2505251808 is a wasteful number, since it uses less digits than its factorization.

2505251808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899616 (or 2899602 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 2505251808 is about 50052.4905274453. The cubic root of 2505251808 is about 1358.1585169262.

The spelling of 2505251808 in words is "two billion, five hundred five million, two hundred fifty-one thousand, eight hundred eight".