2705312342768 has 20 divisors (see below), whose sum is σ = 5990334473520. Its totient is φ = 1159419575424.

The previous prime is 2705312342723. The next prime is 2705312342773. The reversal of 2705312342768 is 8672432135072.

2705312342768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12077287133 + ... + 12077287356.

It is an arithmetic number, because the mean of its divisors is an integer number (299516723676).

Almost surely, 2^{2705312342768} is an apocalyptic number.

2705312342768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2705312342768 is an abundant number, since it is smaller than the sum of its proper divisors (3285022130752).

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

2705312342768 is a wasteful number, since it uses less digits than its factorization.

2705312342768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24154574504 (or 24154574498 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 50.

The spelling of 2705312342768 in words is "two trillion, seven hundred five billion, three hundred twelve million, three hundred forty-two thousand, seven hundred sixty-eight".