2501812768 has 96 divisors (see below), whose sum is σ = 6116535936. Its totient is φ = 980840448.

The previous prime is 2501812727. The next prime is 2501812777. The reversal of 2501812768 is 8672181052.

It is a super-2 number, since 2×2501812768² = 12518134252255643648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2501812768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325255 + ... + 332857.

It is an arithmetic number, because the mean of its divisors is an integer number (63713916).

Almost surely, 2^2501812768 is an apocalyptic number.

2501812768 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 2501812768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058267968).

2501812768 is an abundant number, since it is smaller than the sum of its proper divisors (3614723168).

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

2501812768 is a wasteful number, since it uses less digits than its factorization.

2501812768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 2501812768 is about 50018.1243950630. The cubic root of 2501812768 is about 1357.5367696674.

The spelling of 2501812768 in words is "two billion, five hundred one million, eight hundred twelve thousand, seven hundred sixty-eight".