2551223120 has 80 divisors (see below), whose sum is σ = 6209602560. Its totient is φ = 973593600.

The previous prime is 2551223107. The next prime is 2551223141. The reversal of 2551223120 is 213221552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168836 + ... + 183324.

It is an arithmetic number, because the mean of its divisors is an integer number (77620032).

Almost surely, 2^2551223120 is an apocalyptic number.

2551223120 is a gapful number since it is divisible by the number (20) 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 2551223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104801280).

2551223120 is an abundant number, since it is smaller than the sum of its proper divisors (3658379440).

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

2551223120 is a wasteful number, since it uses less digits than its factorization.

2551223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14604 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2551223120 is about 50509.6339325480. The cubic root of 2551223120 is about 1366.4156075281.

Adding to 2551223120 its reverse (213221552), we get a palindrome (2764444672).

The spelling of 2551223120 in words is "two billion, five hundred fifty-one million, two hundred twenty-three thousand, one hundred twenty".