2668136034249 has 27 divisors (see below), whose sum is σ = 4483252198893. Its totient is φ = 1524629561112.

The previous prime is 2668136034241. The next prime is 2668136034283. The reversal of 2668136034249 is 9424306318662.

The square root of 2668136034249 is 1633443.

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

2668136034249 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 1 + 3 + 603 + 4 + 24 + 9 = 666.

It is not a de Polignac number, because 2668136034249 - 2³ = 2668136034241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2668136034195 and 2668136034204.

It is not an unprimeable number, because it can be changed into a prime (2668136034241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34263412 + ... + 34341194.

Almost surely, 2^{2668136034249} is an apocalyptic number.

2668136034249 is the 1633443-rd square number.

2668136034249 is the 816722-nd centered octagonal number.

It is an amenable number.

2668136034249 is a deficient number, since it is larger than the sum of its proper divisors (1815116164644).

2668136034249 is an frugal number, since it uses more digits than its factorization.

2668136034249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155586 (or 77793 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 2668136034249 in words is "two trillion, six hundred sixty-eight billion, one hundred thirty-six million, thirty-four thousand, two hundred forty-nine".