2002000220022 has 64 divisors (see below), whose sum is σ = 4413655008000. Its totient is φ = 600327598080.

The previous prime is 2002000219979. The next prime is 2002000220071. The reversal of 2002000220022 is 2200220002002.

2002000220022 is a modest number, since divided by 220022 gives 20020 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56633629 + ... + 56668967.

It is an arithmetic number, because the mean of its divisors is an integer number (68963359500).

Almost surely, 2^{2002000220022} is an apocalyptic number.

2002000220022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002000220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206827504000).

2002000220022 is an abundant number, since it is smaller than the sum of its proper divisors (2411654787978).

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

2002000220022 is a wasteful number, since it uses less digits than its factorization.

2002000220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44301.

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2002000220022 its reverse (2200220002002), we get a palindrome (4202220222024).

The spelling of 2002000220022 in words is "two trillion, two billion, two hundred twenty thousand, twenty-two".