2002200220020 has 864 divisors, whose sum is σ = 7912668871296. Its totient is φ = 373621248000.

The previous prime is 2002200220019. The next prime is 2002200220043. The reversal of 2002200220020 is 200220022002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002200219978 and 2002200220005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 202217070 + ... + 202226970.

It is an arithmetic number, because the mean of its divisors is an integer number (9158181564).

Almost surely, 2^{2002200220020} is an apocalyptic number.

2002200220020 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 2002200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956334435648).

2002200220020 is an abundant number, since it is smaller than the sum of its proper divisors (5910468651276).

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

2002200220020 is a wasteful number, since it uses less digits than its factorization.

2002200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001 (or 9979 counting only the distinct ones).

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

Adding to 2002200220020 its reverse (200220022002), we get a palindrome (2202420242022).

The spelling of 2002200220020 in words is "two trillion, two billion, two hundred million, two hundred twenty thousand, twenty".