2126045072349 has 80 divisors (see below), whose sum is σ = 3649883688000. Its totient is φ = 1219736206080.

The previous prime is 2126045072329. The next prime is 2126045072369. The reversal of 2126045072349 is 9432705406212.

2126045072349 is a `hidden beast` number, since 2 + 1 + 2 + 604 + 5 + 0 + 7 + 2 + 34 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (2126045072329) and next prime (2126045072369).

It is a de Polignac number, because none of the positive numbers 2^k-2126045072349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126045072309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21772767 + ... + 21870195.

It is an arithmetic number, because the mean of its divisors is an integer number (45623546100).

Almost surely, 2^{2126045072349} is an apocalyptic number.

It is an amenable number.

2126045072349 is a deficient number, since it is larger than the sum of its proper divisors (1523838615651).

2126045072349 is a wasteful number, since it uses less digits than its factorization.

2126045072349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98760 (or 98751 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2126045072349 in words is "two trillion, one hundred twenty-six billion, forty-five million, seventy-two thousand, three hundred forty-nine".