2551233344 has 112 divisors (see below), whose sum is σ = 5735702016. Its totient is φ = 1115788800.

The previous prime is 2551233259. The next prime is 2551233403. The reversal of 2551233344 is 4433321552.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2551233344.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2148719 + ... + 2149905.

Almost surely, 2^2551233344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867851008).

2551233344 is an abundant number, since it is smaller than the sum of its proper divisors (3184468672).

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

2551233344 is a wasteful number, since it uses less digits than its factorization.

2551233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1314 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 2551233344 is about 50509.7351408617. The cubic root of 2551233344 is about 1366.4174328244.

Adding to 2551233344 its reverse (4433321552), we get a palindrome (6984554896).

The spelling of 2551233344 in words is "two billion, five hundred fifty-one million, two hundred thirty-three thousand, three hundred forty-four".