204240000000 has 704 divisors, whose sum is σ = 729241883136. Its totient is φ = 50688000000.

The previous prime is 204239999989. The next prime is 204240000001. The reversal of 204240000000 is 42402.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204240000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5519999982 + ... + 5520000018.

Almost surely, 2^204240000000 is an apocalyptic number.

204240000000 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 204240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364620941568).

204240000000 is an abundant number, since it is smaller than the sum of its proper divisors (525001883136).

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

204240000000 is an frugal number, since it uses more digits than its factorization.

204240000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

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

Adding to 204240000000 its reverse (42402), we get a palindrome (204240042402).

The spelling of 204240000000 in words is "two hundred four billion, two hundred forty million", and thus it is an aban number.