2649713306436 has 135 divisors (see below), whose sum is σ = 8058415949199. Its totient is φ = 757002344112.

The previous prime is 2649713306389. The next prime is 2649713306437. The reversal of 2649713306436 is 6346033179462.

It is a happy number.

The square root of 2649713306436 is 1627794.

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

2649713306436 is a `hidden beast` number, since 26 + 497 + 13 + 30 + 64 + 36 = 666.

2649713306436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2649713306437) 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, 205095585 + ... + 205108503.

Almost surely, 2^{2649713306436} is an apocalyptic number.

2649713306436 is the 1627794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649713306436

2649713306436 is an abundant number, since it is smaller than the sum of its proper divisors (5408702642763).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2649713306436 is an frugal number, since it uses more digits than its factorization.

2649713306436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25868 (or 12931 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 2649713306436 in words is "two trillion, six hundred forty-nine billion, seven hundred thirteen million, three hundred six thousand, four hundred thirty-six".