2270968679664 has 120 divisors (see below), whose sum is σ = 6636162602160. Its totient is φ = 724055614464.

The previous prime is 2270968679653. The next prime is 2270968679723. The reversal of 2270968679664 is 4669768690722.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2270968679592 and 2270968679601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2094357 + ... + 2988020.

It is an arithmetic number, because the mean of its divisors is an integer number (55301355018).

Almost surely, 2^{2270968679664} is an apocalyptic number.

2270968679664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2270968679664 is an abundant number, since it is smaller than the sum of its proper divisors (4365193922496).

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

2270968679664 is a wasteful number, since it uses less digits than its factorization.

2270968679664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082527 (or 5082518 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 2270968679664 in words is "two trillion, two hundred seventy billion, nine hundred sixty-eight million, six hundred seventy-nine thousand, six hundred sixty-four".