2002020020000 has 720 divisors, whose sum is σ = 6663780357696. Its totient is φ = 575942400000.

The previous prime is 2002020019997. The next prime is 2002020020029. The reversal of 2002020020000 is 200202002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2002020020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 220215455 + ... + 220224545.

Almost surely, 2^{2002020020000} is an apocalyptic number.

2002020020000 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 2002020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331890178848).

2002020020000 is an abundant number, since it is smaller than the sum of its proper divisors (4661760337696).

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

2002020020000 is a wasteful number, since it uses less digits than its factorization.

2002020020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9129 counting only the distinct ones).

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

Adding to 2002020020000 its reverse (200202002), we get a palindrome (2002220222002).

2002020020000 divided by its reverse (200202002) gives a 4-th power (10000 = 10⁴).

The spelling of 2002020020000 in words is "two trillion, two billion, twenty million, twenty thousand".