204240200200 has 96 divisors (see below), whose sum is σ = 483809335560. Its totient is φ = 80170496000.

The previous prime is 204240200159. The next prime is 204240200201. The reversal of 204240200200 is 2002042402.

It can be written as a sum of positive squares in 12 ways, for example, as 5390202724 + 198849997476 = 73418^2 + 445926^2 .

It is not an unprimeable number, because it can be changed into a prime (204240200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2237862 + ... + 2327338.

Almost surely, 2^204240200200 is an apocalyptic number.

204240200200 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 204240200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241904667780).

204240200200 is an abundant number, since it is smaller than the sum of its proper divisors (279569135360).

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

204240200200 is a wasteful number, since it uses less digits than its factorization.

204240200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89707 (or 89698 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 204240200200 its reverse (2002042402), we get a palindrome (206242242602).

The spelling of 204240200200 in words is "two hundred four billion, two hundred forty million, two hundred thousand, two hundred".