2715851264256 has 729 divisors, whose sum is σ = 9013749209829. Its totient is φ = 785969713152.

The previous prime is 2715851264219. The next prime is 2715851264281. The reversal of 2715851264256 is 6524621585172.

The square root of 2715851264256 is 1647984.

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

2715851264256 is a `hidden beast` number, since 2 + 7 + 1 + 585 + 1 + 2 + 6 + 4 + 2 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 401753145600 + 2314098118656 = 633840^2 + 1521216^2 .

It is a super-3 number, since 3×2715851264256³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19538498235 + ... + 19538498373.

Almost surely, 2^{2715851264256} is an apocalyptic number.

2715851264256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2715851264256 is the 1647984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2715851264256

2715851264256 is an abundant number, since it is smaller than the sum of its proper divisors (6297897945573).

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

2715851264256 is a wasteful number, since it uses less digits than its factorization.

2715851264256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 176 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 2715851264256 in words is "two trillion, seven hundred fifteen billion, eight hundred fifty-one million, two hundred sixty-four thousand, two hundred fifty-six".