2200020442056 has 192 divisors, whose sum is σ = 6216735096000. Its totient is φ = 701987919360.

The previous prime is 2200020441991. The next prime is 2200020442057. The reversal of 2200020442056 is 6502440200022.

It is a happy number.

2200020442056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2200020442056³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2200020442057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350933290 + ... + 350939558.

It is an arithmetic number, because the mean of its divisors is an integer number (32378828625).

Almost surely, 2^{2200020442056} 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 2200020442056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108367548000).

2200020442056 is an abundant number, since it is smaller than the sum of its proper divisors (4016714653944).

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

2200020442056 is a wasteful number, since it uses less digits than its factorization.

2200020442056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2200020442056 its reverse (6502440200022), we get a palindrome (8702460642078).

The spelling of 2200020442056 in words is "two trillion, two hundred billion, twenty million, four hundred forty-two thousand, fifty-six".