2270957091360 has 192 divisors, whose sum is σ = 7531104470400. Its totient is φ = 573632520192.

The previous prime is 2270957091349. The next prime is 2270957091449. The reversal of 2270957091360 is 631907590722.

It is a super-2 number, since 2×2270957091360² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85140106 + ... + 85166774.

It is an arithmetic number, because the mean of its divisors is an integer number (39224502450).

Almost surely, 2^{2270957091360} is an apocalyptic number.

2270957091360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270957091360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765552235200).

2270957091360 is an abundant number, since it is smaller than the sum of its proper divisors (5260147379040).

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

2270957091360 is a wasteful number, since it uses less digits than its factorization.

2270957091360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36043 (or 36035 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 2270957091360 in words is "two trillion, two hundred seventy billion, nine hundred fifty-seven million, ninety-one thousand, three hundred sixty".