2002002020 has 24 divisors (see below), whose sum is σ = 4209013368. Its totient is φ = 799884800.

The previous prime is 2002002017. The next prime is 2002002029. The reversal of 2002002020 is 202002002.

It can be written as a sum of positive squares in 4 ways, for example, as 40043584 + 1961958436 = 6328^2 + 44294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002001989 and 2002002007.

It is not an unprimeable number, because it can be changed into a prime (2002002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39191 + ... + 74430.

It is an arithmetic number, because the mean of its divisors is an integer number (175375557).

Almost surely, 2^2002002020 is an apocalyptic number.

2002002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002002020 is an abundant number, since it is smaller than the sum of its proper divisors (2207011348).

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

2002002020 is a wasteful number, since it uses less digits than its factorization.

2002002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114511 (or 114509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2002002020 is about 44743.7372153914. The cubic root of 2002002020 is about 1260.3413075554.

Adding to 2002002020 its reverse (202002002), we get a palindrome (2204004022).

The spelling of 2002002020 in words is "two billion, two million, two thousand, twenty".