2002020022000 has 40 divisors (see below), whose sum is σ = 4840884418032. Its totient is φ = 800808008000.

The previous prime is 2002020021997. The next prime is 2002020022001. The reversal of 2002020022000 is 2200202002.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500503006 + ... + 500507005.

Almost surely, 2^{2002020022000} is an apocalyptic number.

2002020022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020022000 is an abundant number, since it is smaller than the sum of its proper divisors (2838864396032).

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

2002020022000 is a wasteful number, since it uses less digits than its factorization.

2002020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001010034 (or 1001010018 counting only the distinct ones).

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

Adding to 2002020022000 its reverse (2200202002), we get a palindrome (2004220224002).

The spelling of 2002020022000 in words is "two trillion, two billion, twenty million, twenty-two thousand".