2506111349 has 32 divisors (see below), whose sum is σ = 3046225920. Its totient is φ = 2015399232.

The previous prime is 2506111327. The next prime is 2506111367. The reversal of 2506111349 is 9431116052.

It is not a de Polignac number, because 2506111349 - 2²⁰ = 2505062773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506111249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4087967 + ... + 4088579.

It is an arithmetic number, because the mean of its divisors is an integer number (95194560).

Almost surely, 2^2506111349 is an apocalyptic number.

It is an amenable number.

2506111349 is a deficient number, since it is larger than the sum of its proper divisors (540114571).

2506111349 is a wasteful number, since it uses less digits than its factorization.

2506111349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 2506111349 is about 50061.0761869938. The cubic root of 2506111349 is about 1358.3138252592.

The spelling of 2506111349 in words is "two billion, five hundred six million, one hundred eleven thousand, three hundred forty-nine".