2649449610369 has 45 divisors (see below), whose sum is σ = 4007918214993. Its totient is φ = 1744218185688.

The previous prime is 2649449610359. The next prime is 2649449610371. The reversal of 2649449610369 is 9630169449462.

The square root of 2649449610369 is 1627713.

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

2649449610369 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 4 + 4 + 9 + 610 + 3 + 6 + 9 = 666.

It is not a de Polignac number, because 2649449610369 - 2²¹ = 2649447513217 is a prime.

It is a super-2 number, since 2×2649449610369² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2649449610349) 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 44 ways as a sum of consecutive naturals, for example, 1215900522 + ... + 1215902700.

Almost surely, 2^{2649449610369} is an apocalyptic number.

2649449610369 is the 1627713-rd square number.

2649449610369 is the 813857-th centered octagonal number.

It is an amenable number.

2649449610369 is a deficient number, since it is larger than the sum of its proper divisors (1358468604624).

2649449610369 is an frugal number, since it uses more digits than its factorization.

2649449610369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 2649449610369 in words is "two trillion, six hundred forty-nine billion, four hundred forty-nine million, six hundred ten thousand, three hundred sixty-nine".