2551584976 has 40 divisors (see below), whose sum is σ = 5032177920. Its totient is φ = 1253126784.

The previous prime is 2551584967. The next prime is 2551584979. The reversal of 2551584976 is 6794851552.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551584979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243885 + ... + 254131.

It is an arithmetic number, because the mean of its divisors is an integer number (125804448).

Almost surely, 2^2551584976 is an apocalyptic number.

It is an amenable number.

2551584976 is a deficient number, since it is larger than the sum of its proper divisors (2480592944).

2551584976 is a wasteful number, since it uses less digits than its factorization.

2551584976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10525 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 52.

The square root of 2551584976 is about 50513.2158548632. The cubic root of 2551584976 is about 1366.4802069102.

The spelling of 2551584976 in words is "two billion, five hundred fifty-one million, five hundred eighty-four thousand, nine hundred seventy-six".