204242230080 has 1792 divisors, whose sum is σ = 914341478400. Its totient is φ = 41896673280.

The previous prime is 204242230069. The next prime is 204242230117. The reversal of 204242230080 is 80032242402.

204242230080 is a `hidden beast` number, since 2 + 0 + 424 + 2 + 230 + 0 + 8 + 0 = 666.

204242230080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2460749719 + ... + 2460749801.

It is an arithmetic number, because the mean of its divisors is an integer number (510235200).

Almost surely, 2^204242230080 is an apocalyptic number.

204242230080 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 204242230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457170739200).

204242230080 is an abundant number, since it is smaller than the sum of its proper divisors (710099248320).

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

204242230080 is a wasteful number, since it uses less digits than its factorization.

204242230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204242230080 its reverse (80032242402), we get a palindrome (284274472482).

The spelling of 204242230080 in words is "two hundred four billion, two hundred forty-two million, two hundred thirty thousand, eighty".