2639627344249 has 45 divisors (see below), whose sum is σ = 3130066916741. Its totient is φ = 2225894397720.

The previous prime is 2639627344243. The next prime is 2639627344271. The reversal of 2639627344249 is 9424437269362.

The square root of 2639627344249 is 1624693.

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

2639627344249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2639627344249 - 2³ = 2639627344241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2639627344241) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5652306714 + ... + 5652307180.

Almost surely, 2^{2639627344249} is an apocalyptic number.

2639627344249 is the 1624693-rd square number.

2639627344249 is the 812347-th centered octagonal number.

It is an amenable number.

2639627344249 is a deficient number, since it is larger than the sum of its proper divisors (490439572492).

2639627344249 is an frugal number, since it uses more digits than its factorization.

2639627344249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 545 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 61.

The spelling of 2639627344249 in words is "two trillion, six hundred thirty-nine billion, six hundred twenty-seven million, three hundred forty-four thousand, two hundred forty-nine".