2002002002220 has 192 divisors, whose sum is σ = 6476319360000. Its totient is φ = 456686346240.

The previous prime is 2002002002213. The next prime is 2002002002261. The reversal of 2002002002220 is 222002002002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002002002196 and 2002002002205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60560256 + ... + 60593304.

It is an arithmetic number, because the mean of its divisors is an integer number (33730830000).

Almost surely, 2^{2002002002220} is an apocalyptic number.

2002002002220 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 2002002002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238159680000).

2002002002220 is an abundant number, since it is smaller than the sum of its proper divisors (4474317357780).

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

2002002002220 is a wasteful number, since it uses less digits than its factorization.

2002002002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38488 (or 38486 counting only the distinct ones).

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

Adding to 2002002002220 its reverse (222002002002), we get a palindrome (2224004004222).

The spelling of 2002002002220 in words is "two trillion, two billion, two million, two thousand, two hundred twenty".