2609575056 has 315 divisors, whose sum is σ = 8530689027. Its totient is φ = 772390080.

The previous prime is 2609575051. The next prime is 2609575057. The reversal of 2609575056 is 6505759062.

The square root of 2609575056 is 51084.

It is a perfect power (a square), and thus also a powerful number.

2609575056 is a `hidden beast` number, since 26 + 0 + 9 + 575 + 0 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (2609575051) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 60687771 + ... + 60687813.

Almost surely, 2^2609575056 is an apocalyptic number.

2609575056 is the 51084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609575056

2609575056 is an abundant number, since it is smaller than the sum of its proper divisors (5921113971).

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

2609575056 is an equidigital number, since it uses as much as digits as its factorization.

2609575056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The cubic root of 2609575056 is about 1376.7547942211.

The spelling of 2609575056 in words is "two billion, six hundred nine million, five hundred seventy-five thousand, fifty-six".