2715521677456 has 135 divisors (see below), whose sum is σ = 6171169746699. Its totient is φ = 1154204319744.

The previous prime is 2715521677417. The next prime is 2715521677489. The reversal of 2715521677456 is 6547761255172.

It is a happy number.

The square root of 2715521677456 is 1647884.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2323124672400 + 392397005056 = 1524180^2 + 626416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2715521677456.

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 26 ways as a sum of consecutive naturals, for example, 10566232080 + ... + 10566232336.

Almost surely, 2^{2715521677456} is an apocalyptic number.

2715521677456 is the 1647884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2715521677456

2715521677456 is an abundant number, since it is smaller than the sum of its proper divisors (3455648069243).

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

2715521677456 is an frugal number, since it uses more digits than its factorization.

2715521677456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 495 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 58.

The spelling of 2715521677456 in words is "two trillion, seven hundred fifteen billion, five hundred twenty-one million, six hundred seventy-seven thousand, four hundred fifty-six".