2765267705 has 16 divisors (see below), whose sum is σ = 3410019984. Its totient is φ = 2151152640.

The previous prime is 2765267641. The next prime is 2765267707. The reversal of 2765267705 is 5077625672.

2765267705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 43454464 + 2721813241 = 6592^2 + 52171^2 .

It is not a de Polignac number, because 2765267705 - 2⁶ = 2765267641 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2765267705.

It is not an unprimeable number, because it can be changed into a prime (2765267707) 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, 418709 + ... + 425261.

It is an arithmetic number, because the mean of its divisors is an integer number (213126249).

Almost surely, 2^2765267705 is an apocalyptic number.

It is an amenable number.

2765267705 is a deficient number, since it is larger than the sum of its proper divisors (644752279).

2765267705 is a wasteful number, since it uses less digits than its factorization.

2765267705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876.

The product of its (nonzero) digits is 1234800, while the sum is 47.

The square root of 2765267705 is about 52585.8127730284. The cubic root of 2765267705 is about 1403.6076521089.

The spelling of 2765267705 in words is "two billion, seven hundred sixty-five million, two hundred sixty-seven thousand, seven hundred five".