2961097574656 has 81 divisors (see below), whose sum is σ = 6401039940939. Its totient is φ = 1366495223808.

The previous prime is 2961097574597. The next prime is 2961097574671. The reversal of 2961097574656 is 6564757901692.

The square root of 2961097574656 is 1720784.

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 40006400256 + 2921091174400 = 200016^2 + 1709120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2961097574591 and 2961097574600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 357918936 + ... + 357927208.

Almost surely, 2^{2961097574656} is an apocalyptic number.

2961097574656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2961097574656 is the 1720784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961097574656

2961097574656 is an abundant number, since it is smaller than the sum of its proper divisors (3439942366283).

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

2961097574656 is an frugal number, since it uses more digits than its factorization.

2961097574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16588 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 67.

The spelling of 2961097574656 in words is "two trillion, nine hundred sixty-one billion, ninety-seven million, five hundred seventy-four thousand, six hundred fifty-six".