2691296027289 has 81 divisors (see below), whose sum is σ = 4360910955453. Its totient is φ = 1598834744064.

The previous prime is 2691296027281. The next prime is 2691296027317. The reversal of 2691296027289 is 9827206921962.

The square root of 2691296027289 is 1640517.

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

2691296027289 is a `hidden beast` number, since 2 + 6 + 9 + 12 + 9 + 602 + 7 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81843482889 + 2609452544400 = 286083^2 + 1615380^2 .

It is not a de Polignac number, because 2691296027289 - 2³ = 2691296027281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2691296027281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1589660127 + ... + 1589661819.

Almost surely, 2^{2691296027289} is an apocalyptic number.

2691296027289 is the 1640517-th square number.

2691296027289 is the 820259-th centered octagonal number.

It is an amenable number.

2691296027289 is a deficient number, since it is larger than the sum of its proper divisors (1669614928164).

2691296027289 is an equidigital number, since it uses as much as digits as its factorization.

2691296027289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 2691296027289 in words is "two trillion, six hundred ninety-one billion, two hundred ninety-six million, twenty-seven thousand, two hundred eighty-nine".