2509552896 has 36 divisors (see below), whose sum is σ = 6679072512. Its totient is φ = 836517376.

The previous prime is 2509552879. The next prime is 2509552907. The reversal of 2509552896 is 6982559052.

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 3 ways as a sum of consecutive naturals, for example, 1633056 + ... + 1634591.

It is an arithmetic number, because the mean of its divisors is an integer number (185529792).

Almost surely, 2^2509552896 is an apocalyptic number.

It is an amenable number.

2509552896 is an abundant number, since it is smaller than the sum of its proper divisors (4169519616).

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

2509552896 is an equidigital number, since it uses as much as digits as its factorization.

2509552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267666 (or 3267652 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The square root of 2509552896 is about 50095.4378761180. The cubic root of 2509552896 is about 1358.9353143563.

The spelling of 2509552896 in words is "two billion, five hundred nine million, five hundred fifty-two thousand, eight hundred ninety-six".