2002332220200 has 384 divisors, whose sum is σ = 7445721360000. Its totient is φ = 491669637120.

The previous prime is 2002332220157. The next prime is 2002332220201. The reversal of 2002332220200 is 20222332002.

It is a super-2 number, since 2×2002332220200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2002332220201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28676931 + ... + 28746669.

It is an arithmetic number, because the mean of its divisors is an integer number (19389899375).

Almost surely, 2^{2002332220200} is an apocalyptic number.

2002332220200 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 2002332220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722860680000).

2002332220200 is an abundant number, since it is smaller than the sum of its proper divisors (5443389139800).

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

2002332220200 is a wasteful number, since it uses less digits than its factorization.

2002332220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70186 (or 70171 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2002332220200 its reverse (20222332002), we get a palindrome (2022554552202).

The spelling of 2002332220200 in words is "two trillion, two billion, three hundred thirty-two million, two hundred twenty thousand, two hundred".