2270765109312 has 672 divisors, whose sum is σ = 8011008656640. Its totient is φ = 636446813184.

The previous prime is 2270765109293. The next prime is 2270765109323. The reversal of 2270765109312 is 2139015670722.

It is a happy number.

2270765109312 is a `hidden beast` number, since 2 + 270 + 7 + 65 + 1 + 0 + 9 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2270765109312² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363493773 + ... + 363500019.

Almost surely, 2^{2270765109312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270765109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005504328320).

2270765109312 is an abundant number, since it is smaller than the sum of its proper divisors (5740243547328).

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

2270765109312 is an frugal number, since it uses more digits than its factorization.

2270765109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 2270765109312 in words is "two trillion, two hundred seventy billion, seven hundred sixty-five million, one hundred nine thousand, three hundred twelve".