2551564444 has 96 divisors (see below), whose sum is σ = 5403315456. Its totient is φ = 1038804480.

The previous prime is 2551564429. The next prime is 2551564469. The reversal of 2551564444 is 4444651552.

It is a super-2 number, since 2×2551564444² = 13020962223770058272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2551564397 and 2551564406.

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 31 ways as a sum of consecutive naturals, for example, 5583064 + ... + 5583520.

It is an arithmetic number, because the mean of its divisors is an integer number (56284536).

Almost surely, 2^2551564444 is an apocalyptic number.

It is an amenable number.

2551564444 is an abundant number, since it is smaller than the sum of its proper divisors (2851751012).

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

2551564444 is a wasteful number, since it uses less digits than its factorization.

2551564444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its digits is 384000, while the sum is 40.

The square root of 2551564444 is about 50513.0126205120. The cubic root of 2551564444 is about 1366.4765416528.

The spelling of 2551564444 in words is "two billion, five hundred fifty-one million, five hundred sixty-four thousand, four hundred forty-four".