2002020220002 has 64 divisors (see below), whose sum is σ = 4433815484928. Its totient is φ = 597540240000.

The previous prime is 2002020219943. The next prime is 2002020220019. The reversal of 2002020220002 is 2000220202002.

It is a super-2 number, since 2×2002020220002² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002020220002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40175502 + ... + 40225302.

It is an arithmetic number, because the mean of its divisors is an integer number (69278366952).

Almost surely, 2^{2002020220002} is an apocalyptic number.

2002020220002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002020220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216907742464).

2002020220002 is an abundant number, since it is smaller than the sum of its proper divisors (2431795264926).

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

2002020220002 is a wasteful number, since it uses less digits than its factorization.

2002020220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58975.

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

Adding to 2002020220002 its reverse (2000220202002), we get a palindrome (4002240422004).

It can be divided in two parts, 200 and 2020220002, that added together give a palindrome (2020220202).

The spelling of 2002020220002 in words is "two trillion, two billion, twenty million, two hundred twenty thousand, two".