2705279140464 has 80 divisors (see below), whose sum is σ = 7356746400000. Its totient is φ = 854265512448.

The previous prime is 2705279140381. The next prime is 2705279140489. The reversal of 2705279140464 is 4640419725072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35441412 + ... + 35517660.

It is an arithmetic number, because the mean of its divisors is an integer number (91959330000).

Almost surely, 2^{2705279140464} is an apocalyptic number.

2705279140464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2705279140464 is an abundant number, since it is smaller than the sum of its proper divisors (4651467259536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2705279140464 is a wasteful number, since it uses less digits than its factorization.

2705279140464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115182 (or 115176 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 2705279140464 in words is "two trillion, seven hundred five billion, two hundred seventy-nine million, one hundred forty thousand, four hundred sixty-four".