2002020020020 has 24 divisors (see below), whose sum is σ = 4204315670184. Its totient is φ = 800793983616.

The previous prime is 2002020019997. The next prime is 2002020020029. The reversal of 2002020020020 is 200200202002.

It can be written as a sum of positive squares in 4 ways, for example, as 885033140644 + 1116986879376 = 940762^2 + 1056876^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2002020019979 and 2002020020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020020029) 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, 334882 + ... + 2028838.

It is an arithmetic number, because the mean of its divisors is an integer number (175179819591).

Almost surely, 2^{2002020020020} is an apocalyptic number.

2002020020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020020020 is an abundant number, since it is smaller than the sum of its proper divisors (2202295650164).

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

2002020020020 is a wasteful number, since it uses less digits than its factorization.

2002020020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753059 (or 1753057 counting only the distinct ones).

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

Adding to 2002020020020 its reverse (200200202002), we get a palindrome (2202220222022).

The spelling of 2002020020020 in words is "two trillion, two billion, twenty million, twenty thousand, twenty".