202005020 has 48 divisors (see below), whose sum is σ = 486655680. Its totient is φ = 68995584.

The previous prime is 202004989. The next prime is 202005029. The reversal of 202005020 is 20500202.

It is a junction number, because it is equal to n+sod(n) for n = 202004992 and 202005010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202005029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36176 + ... + 41384.

It is an arithmetic number, because the mean of its divisors is an integer number (10138660).

Almost surely, 2^202005020 is an apocalyptic number.

202005020 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 202005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243327840).

202005020 is an abundant number, since it is smaller than the sum of its proper divisors (284650660).

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

202005020 is a wasteful number, since it uses less digits than its factorization.

202005020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 202005020 is about 14212.8470054384. The cubic root of 202005020 is about 586.7512913107.

Adding to 202005020 its reverse (20500202), we get a palindrome (222505222).

The spelling of 202005020 in words is "two hundred two million, five thousand, twenty".