2133105767 has 16 divisors (see below), whose sum is σ = 2436385728. Its totient is φ = 1852519680.

The previous prime is 2133105761. The next prime is 2133105797. The reversal of 2133105767 is 7675013312.

It is a cyclic number.

It is not a de Polignac number, because 2133105767 - 2⁸ = 2133105511 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 (2133105761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40238 + ... + 76715.

It is an arithmetic number, because the mean of its divisors is an integer number (152274108).

Almost surely, 2^2133105767 is an apocalyptic number.

2133105767 is a deficient number, since it is larger than the sum of its proper divisors (303279961).

2133105767 is a wasteful number, since it uses less digits than its factorization.

2133105767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117050.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 2133105767 is about 46185.5579916493. The cubic root of 2133105767 is about 1287.2734043300.

The spelling of 2133105767 in words is "two billion, one hundred thirty-three million, one hundred five thousand, seven hundred sixty-seven".