2022611705856 has 672 divisors, whose sum is σ = 7104774980160. Its totient is φ = 541241376768.

The previous prime is 2022611705813. The next prime is 2022611705857. The reversal of 2022611705856 is 6585071162202.

2022611705856 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 61 + 1 + 7 + 0 + 585 + 6 = 666.

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

It is a super-2 number, since 2×2022611705856² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022611705857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2360106580 + ... + 2360107436.

Almost surely, 2^{2022611705856} 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 2022611705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552387490080).

2022611705856 is an abundant number, since it is smaller than the sum of its proper divisors (5082163274304).

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

2022611705856 is a wasteful number, since it uses less digits than its factorization.

2022611705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2022611705856 in words is "two trillion, twenty-two billion, six hundred eleven million, seven hundred five thousand, eight hundred fifty-six".