2551820264 has 32 divisors (see below), whose sum is σ = 5509944000. Its totient is φ = 1085285760.

The previous prime is 2551820237. The next prime is 2551820267. The reversal of 2551820264 is 4620281552.

2551820264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2551820264² = 13023573319522059392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2551820267) 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, 166589 + ... + 181260.

It is an arithmetic number, because the mean of its divisors is an integer number (172185750).

Almost surely, 2^2551820264 is an apocalyptic number.

It is an amenable number.

2551820264 is an abundant number, since it is smaller than the sum of its proper divisors (2958123736).

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

2551820264 is a wasteful number, since it uses less digits than its factorization.

2551820264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347993 (or 347989 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 2551820264 is about 50515.5447758410. The cubic root of 2551820264 is about 1366.5222077993.

The spelling of 2551820264 in words is "two billion, five hundred fifty-one million, eight hundred twenty thousand, two hundred sixty-four".