202202002020 has 192 divisors, whose sum is σ = 586445739264. Its totient is φ = 52022476800.

The previous prime is 202202002019. The next prime is 202202002049. The reversal of 202202002020 is 20200202202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202202001987 and 202202002005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175369764 + ... + 175370916.

It is an arithmetic number, because the mean of its divisors is an integer number (3054404892).

Almost surely, 2^202202002020 is an apocalyptic number.

202202002020 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 202202002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293222869632).

202202002020 is an abundant number, since it is smaller than the sum of its proper divisors (384243737244).

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

202202002020 is a wasteful number, since it uses less digits than its factorization.

202202002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1980 counting only the distinct ones).

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

Adding to 202202002020 its reverse (20200202202), we get a palindrome (222402204222).

The spelling of 202202002020 in words is "two hundred two billion, two hundred two million, two thousand, twenty".