2002222202200 has 768 divisors, whose sum is σ = 5649518586240. Its totient is φ = 651755520000.

The previous prime is 2002222202179. The next prime is 2002222202203. The reversal of 2002222202200 is 22022222002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002222202203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14614760532 + ... + 14614760668.

Almost surely, 2^{2002222202200} is an apocalyptic number.

2002222202200 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 2002222202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824759293120).

2002222202200 is an abundant number, since it is smaller than the sum of its proper divisors (3647296384040).

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

2002222202200 is a wasteful number, since it uses less digits than its factorization.

2002222202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2002222202200 its reverse (22022222002), we get a palindrome (2024244424202).

It can be divided in two parts, 20022 and 22202200, that added together give a palindrome (22222222).

The spelling of 2002222202200 in words is "two trillion, two billion, two hundred twenty-two million, two hundred two thousand, two hundred".