2251765568 has 56 divisors (see below), whose sum is σ = 4879969920. Its totient is φ = 1024611840.

The previous prime is 2251765559. The next prime is 2251765591. The reversal of 2251765568 is 8655671522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40013 + ... + 78131.

It is an arithmetic number, because the mean of its divisors is an integer number (87142320).

Almost surely, 2^2251765568 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 2251765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439984960).

2251765568 is an abundant number, since it is smaller than the sum of its proper divisors (2628204352).

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

2251765568 is a wasteful number, since it uses less digits than its factorization.

2251765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38215 (or 38205 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 47.

The square root of 2251765568 is about 47452.7719738268. The cubic root of 2251765568 is about 1310.7133554289.

The spelling of 2251765568 in words is "two billion, two hundred fifty-one million, seven hundred sixty-five thousand, five hundred sixty-eight".