2705705405703 has 48 divisors (see below), whose sum is σ = 3985601780160. Its totient is φ = 1768305945600.

The previous prime is 2705705405671. The next prime is 2705705405707. The reversal of 2705705405703 is 3075045075072.

2705705405703 is a `hidden beast` number, since 2 + 7 + 0 + 5 + 70 + 5 + 4 + 0 + 570 + 3 = 666.

2705705405703 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 2705705405703 - 2⁵ = 2705705405671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2705705405707) 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, 232582975 + ... + 232594607.

It is an arithmetic number, because the mean of its divisors is an integer number (83033370420).

Almost surely, 2^{2705705405703} is an apocalyptic number.

2705705405703 is a deficient number, since it is larger than the sum of its proper divisors (1279896374457).

2705705405703 is a wasteful number, since it uses less digits than its factorization.

2705705405703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 1029000, while the sum is 45.

The spelling of 2705705405703 in words is "two trillion, seven hundred five billion, seven hundred five million, four hundred five thousand, seven hundred three".