2506705267 has 16 divisors (see below), whose sum is σ = 2973709152. Its totient is φ = 2086801920.

The previous prime is 2506705261. The next prime is 2506705297. The reversal of 2506705267 is 7625076052.

2506705267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2506705267 - 2⁷ = 2506705139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2506705261) 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, 174228 + ... + 188065.

It is an arithmetic number, because the mean of its divisors is an integer number (185856822).

Almost surely, 2^2506705267 is an apocalyptic number.

2506705267 is a deficient number, since it is larger than the sum of its proper divisors (467003885).

2506705267 is a wasteful number, since it uses less digits than its factorization.

2506705267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362358.

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 2506705267 is about 50067.0077695881. The cubic root of 2506705267 is about 1358.4211180857.

The spelling of 2506705267 in words is "two billion, five hundred six million, seven hundred five thousand, two hundred sixty-seven".