2697106590369 has 27 divisors (see below), whose sum is σ = 4025774160369. Its totient is φ = 1739970230760.

The previous prime is 2697106590313. The next prime is 2697106590389. The reversal of 2697106590369 is 9630956017962.

The square root of 2697106590369 is 1642287.

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

2697106590369 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 1 + 0 + 6 + 590 + 36 + 9 = 666.

It is not a de Polignac number, because 2697106590369 - 2¹⁵ = 2697106557601 is a prime.

It is a super-2 number, since 2×2697106590369² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2697106590389) 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, 152723862 + ... + 152741520.

Almost surely, 2^{2697106590369} is an apocalyptic number.

2697106590369 is the 1642287-th square number.

2697106590369 is the 821144-th centered octagonal number.

It is an amenable number.

2697106590369 is a deficient number, since it is larger than the sum of its proper divisors (1328667570000).

2697106590369 is an frugal number, since it uses more digits than its factorization.

2697106590369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35386 (or 17693 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 2697106590369 in words is "two trillion, six hundred ninety-seven billion, one hundred six million, five hundred ninety thousand, three hundred sixty-nine".