2551159584 has 96 divisors (see below), whose sum is σ = 7450410240. Its totient is φ = 849298176.

The previous prime is 2551159579. The next prime is 2551159613. The reversal of 2551159584 is 4859511552.

2551159584 is a `hidden beast` number, since 2 + 5 + 5 + 11 + 59 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 951654 + ... + 954330.

It is an arithmetic number, because the mean of its divisors is an integer number (77608440).

Almost surely, 2^2551159584 is an apocalyptic number.

2551159584 is a gapful number since it is divisible by the number (24) 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 2551159584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725205120).

2551159584 is an abundant number, since it is smaller than the sum of its proper divisors (4899250656).

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

2551159584 is a wasteful number, since it uses less digits than its factorization.

2551159584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3785 counting only the distinct ones).

The product of its digits is 360000, while the sum is 45.

The square root of 2551159584 is about 50509.0049793104. The cubic root of 2551159584 is about 1366.4042643019.

The spelling of 2551159584 in words is "two billion, five hundred fifty-one million, one hundred fifty-nine thousand, five hundred eighty-four".