2979569656449 has 27 divisors (see below), whose sum is σ = 4315741368393. Its totient is φ = 1980894088512.

The previous prime is 2979569656411. The next prime is 2979569656471. The reversal of 2979569656449 is 9446569659792.

The square root of 2979569656449 is 1726143.

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

2979569656449 is a `hidden beast` number, since 2 + 9 + 7 + 9 + 5 + 6 + 9 + 6 + 564 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38413256049 + 2941156400400 = 195993^2 + 1714980^2 .

It is not a de Polignac number, because 2979569656449 - 2¹¹ = 2979569654401 is a prime.

It is a super-2 number, since 2×2979569656449² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2979569656949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2884384437 + ... + 2884385469.

Almost surely, 2^{2979569656449} is an apocalyptic number.

2979569656449 is the 1726143-rd square number.

2979569656449 is the 863072-nd centered octagonal number.

It is an amenable number.

2979569656449 is a deficient number, since it is larger than the sum of its proper divisors (1336171711944).

2979569656449 is an frugal number, since it uses more digits than its factorization.

2979569656449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 1593 counting only the distinct ones).

The product of its digits is 7936185600, while the sum is 81.

Multiplying 2979569656449 by its sum of digits (81), we get a square (241345142172369 = 15535287²).

The spelling of 2979569656449 in words is "two trillion, nine hundred seventy-nine billion, five hundred sixty-nine million, six hundred fifty-six thousand, four hundred forty-nine".