2509322119056 has 135 divisors (see below), whose sum is σ = 7098267005713. Its totient is φ = 827525481600.

The previous prime is 2509322119013. The next prime is 2509322119061. The reversal of 2509322119056 is 6509112239052.

The square root of 2509322119056 is 1584084.

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

2509322119056 is a `hidden beast` number, since 2 + 509 + 3 + 2 + 2 + 1 + 1 + 90 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2410926976656 + 98395142400 = 1552716^2 + 313680^2 .

It is a super-2 number, since 2×2509322119056² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1919909155 + ... + 1919910461.

Almost surely, 2^{2509322119056} is an apocalyptic number.

2509322119056 is the 1584084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509322119056

2509322119056 is an abundant number, since it is smaller than the sum of its proper divisors (4588944886657).

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

2509322119056 is an equidigital number, since it uses as much as digits as its factorization.

2509322119056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 2509322119056 in words is "two trillion, five hundred nine billion, three hundred twenty-two million, one hundred nineteen thousand, fifty-six".