2002000220220 has 768 divisors, whose sum is σ = 7778646392832. Its totient is φ = 371262320640.

The previous prime is 2002000220219. The next prime is 2002000220221. The reversal of 2002000220220 is 220220002002.

It is an interprime number because it is at equal distance from previous prime (2002000220219) and next prime (2002000220221).

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

2002000220220 is a modest number, since divided by 220220 gives 20020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2002000220196 and 2002000220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000220221) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 362219097 + ... + 362224623.

It is an arithmetic number, because the mean of its divisors is an integer number (10128445824).

Almost surely, 2^{2002000220220} is an apocalyptic number.

2002000220220 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 2002000220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889323196416).

2002000220220 is an abundant number, since it is smaller than the sum of its proper divisors (5776646172612).

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

2002000220220 is a wasteful number, since it uses less digits than its factorization.

2002000220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5768 counting only the distinct ones).

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

Adding to 2002000220220 its reverse (220220002002), we get a palindrome (2222220222222).

The spelling of 2002000220220 in words is "two trillion, two billion, two hundred twenty thousand, two hundred twenty".