2502768960 has 84 divisors (see below), whose sum is σ = 8608492308. Its totient is φ = 667404288.

The previous prime is 2502768949. The next prime is 2502769001. The reversal of 2502768960 is 698672052.

2502768960 is a `hidden beast` number, since 2 + 502 + 7 + 6 + 89 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 596922624 + 1905846336 = 24432^2 + 43656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 431629 + ... + 437388.

Almost surely, 2^2502768960 is an apocalyptic number.

2502768960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2502768960 is an abundant number, since it is smaller than the sum of its proper divisors (6105723348).

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

2502768960 is a wasteful number, since it uses less digits than its factorization.

2502768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869040 (or 869027 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2502768960 is about 50027.6819371036. The cubic root of 2502768960 is about 1357.7096976708.

The spelling of 2502768960 in words is "two billion, five hundred two million, seven hundred sixty-eight thousand, nine hundred sixty".