2257552660 has 144 divisors (see below), whose sum is σ = 5440183056. Its totient is φ = 785664000.

The previous prime is 2257552651. The next prime is 2257552663. The reversal of 2257552660 is 662557522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 790509456 + 1467043204 = 28116^2 + 38302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257552663) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6052234 + ... + 6052606.

It is an arithmetic number, because the mean of its divisors is an integer number (37779049).

Almost surely, 2^2257552660 is an apocalyptic number.

2257552660 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 2257552660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720091528).

2257552660 is an abundant number, since it is smaller than the sum of its proper divisors (3182630396).

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

2257552660 is a wasteful number, since it uses less digits than its factorization.

2257552660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 2257552660 is about 47513.7102318899. The cubic root of 2257552660 is about 1311.8352498922.

The spelling of 2257552660 in words is "two billion, two hundred fifty-seven million, five hundred fifty-two thousand, six hundred sixty".