202020003000 has 192 divisors, whose sum is σ = 706374302400. Its totient is φ = 52014278400.

The previous prime is 202020002963. The next prime is 202020003001. The reversal of 202020003000 is 300020202.

It is a super-2 number, since 2×202020003000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202020003001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126012 + ... + 648011.

It is an arithmetic number, because the mean of its divisors is an integer number (3679032825).

Almost surely, 2^202020003000 is an apocalyptic number.

202020003000 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 202020003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353187151200).

202020003000 is an abundant number, since it is smaller than the sum of its proper divisors (504354299400).

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

202020003000 is a wasteful number, since it uses less digits than its factorization.

202020003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774079 (or 774062 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 202020003000 its reverse (300020202), we get a palindrome (202320023202).

The spelling of 202020003000 in words is "two hundred two billion, twenty million, three thousand".