204330204240 has 80 divisors (see below), whose sum is σ = 633743896128. Its totient is φ = 54460505088.

The previous prime is 204330204203. The next prime is 204330204251. The reversal of 204330204240 is 42402033402.

204330204240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×204330204240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204330204240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262644 + ... + 691116.

Almost surely, 2^204330204240 is an apocalyptic number.

204330204240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204330204240 is an abundant number, since it is smaller than the sum of its proper divisors (429413691888).

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

204330204240 is a wasteful number, since it uses less digits than its factorization.

204330204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430476 (or 430470 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 204330204240 its reverse (42402033402), we get a palindrome (246732237642).

The spelling of 204330204240 in words is "two hundred four billion, three hundred thirty million, two hundred four thousand, two hundred forty".