2716589611264 has 81 divisors (see below), whose sum is σ = 5604818382219. Its totient is φ = 1314083274240.

The previous prime is 2716589611247. The next prime is 2716589611297. The reversal of 2716589611264 is 4621169856172.

The square root of 2716589611264 is 1648208.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2716589611199 and 2716589611208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 817509507 + ... + 817512829.

Almost surely, 2^{2716589611264} is an apocalyptic number.

2716589611264 is the 1648208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2716589611264

2716589611264 is an abundant number, since it is smaller than the sum of its proper divisors (2888228770955).

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

2716589611264 is an frugal number, since it uses more digits than its factorization.

2716589611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 3356 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 2716589611264 in words is "two trillion, seven hundred sixteen billion, five hundred eighty-nine million, six hundred eleven thousand, two hundred sixty-four".