2002200002020 has 72 divisors (see below), whose sum is σ = 4366749441600. Its totient is φ = 771107186304.

The previous prime is 2002200001961. The next prime is 2002200002029. The reversal of 2002200002020 is 202000022002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002200001988 and 2002200002006.

It is not an unprimeable number, because it can be changed into a prime (2002200002029) 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 23 ways as a sum of consecutive naturals, for example, 5872591 + ... + 6204169.

It is an arithmetic number, because the mean of its divisors is an integer number (60649297800).

Almost surely, 2^{2002200002020} is an apocalyptic number.

2002200002020 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 2002200002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183374720800).

2002200002020 is an abundant number, since it is smaller than the sum of its proper divisors (2364549439580).

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

2002200002020 is a wasteful number, since it uses less digits than its factorization.

2002200002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332005 (or 331974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 2002200002020 its reverse (202000022002), we get a palindrome (2204200024022).

The spelling of 2002200002020 in words is "two trillion, two billion, two hundred million, two thousand, twenty".