2705677007 has 48 divisors (see below), whose sum is σ = 3350833920. Its totient is φ = 2169319680.

The previous prime is 2705676959. The next prime is 2705677031. The reversal of 2705677007 is 7007765072.

2705677007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2705677007 - 2²² = 2701482703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705677067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181558 + ... + 4182204.

It is an arithmetic number, because the mean of its divisors is an integer number (69809040).

Almost surely, 2^2705677007 is an apocalyptic number.

2705677007 is a deficient number, since it is larger than the sum of its proper divisors (645156913).

2705677007 is a wasteful number, since it uses less digits than its factorization.

2705677007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 41.

The square root of 2705677007 is about 52016.1225679116. The cubic root of 2705677007 is about 1393.4519051140.

The spelling of 2705677007 in words is "two billion, seven hundred five million, six hundred seventy-seven thousand, seven".