2735705705973 has 16 divisors (see below), whose sum is σ = 3664619795520. Its totient is φ = 1815314776704.

The previous prime is 2735705705959. The next prime is 2735705705989. The reversal of 2735705705973 is 3795075075372.

It is not a de Polignac number, because 2735705705973 - 2⁹ = 2735705705461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735705705273) 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, 1491478 + ... + 2774151.

It is an arithmetic number, because the mean of its divisors is an integer number (229038737220).

Almost surely, 2^{2735705705973} is an apocalyptic number.

It is an amenable number.

2735705705973 is a deficient number, since it is larger than the sum of its proper divisors (928914089547).

2735705705973 is a wasteful number, since it uses less digits than its factorization.

2735705705973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266628.

The product of its (nonzero) digits is 48620250, while the sum is 60.

The spelling of 2735705705973 in words is "two trillion, seven hundred thirty-five billion, seven hundred five million, seven hundred five thousand, nine hundred seventy-three".