204824004820 has 24 divisors (see below), whose sum is σ = 452768853600. Its totient is φ = 77617517472.

The previous prime is 204824004811. The next prime is 204824004821. The reversal of 204824004820 is 28400428402.

It is a happy number.

204824004820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204824004821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 269504890 + ... + 269505649.

It is an arithmetic number, because the mean of its divisors is an integer number (18865368900).

Almost surely, 2^204824004820 is an apocalyptic number.

204824004820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204824004820 is an abundant number, since it is smaller than the sum of its proper divisors (247944848780).

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

204824004820 is a wasteful number, since it uses less digits than its factorization.

204824004820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539010567 (or 539010565 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The spelling of 204824004820 in words is "two hundred four billion, eight hundred twenty-four million, four thousand, eight hundred twenty".