2210002022000 has 160 divisors (see below), whose sum is σ = 5433338077440. Its totient is φ = 869302886400.

The previous prime is 2210002021987. The next prime is 2210002022057. The reversal of 2210002022000 is 2202000122.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30421721 + ... + 30494279.

It is an arithmetic number, because the mean of its divisors is an integer number (33958362984).

Almost surely, 2^{2210002022000} is an apocalyptic number.

2210002022000 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 2210002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716669038720).

2210002022000 is an abundant number, since it is smaller than the sum of its proper divisors (3223336055440).

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

2210002022000 is a wasteful number, since it uses less digits than its factorization.

2210002022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72836 (or 72820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2210002022000 its reverse (2202000122), we get a palindrome (2212204022122).

The spelling of 2210002022000 in words is "two trillion, two hundred ten billion, two million, twenty-two thousand".