204040242 has 64 divisors (see below), whose sum is σ = 526752000. Its totient is φ = 57335040.

The previous prime is 204040223. The next prime is 204040247. The reversal of 204040242 is 242040402.

204040242 is a `hidden beast` number, since 20 + 404 + 0 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (204040247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18634 + ... + 27482.

It is an arithmetic number, because the mean of its divisors is an integer number (8230500).

Almost surely, 2^204040242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204040242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263376000).

204040242 is an abundant number, since it is smaller than the sum of its proper divisors (322711758).

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

204040242 is a wasteful number, since it uses less digits than its factorization.

204040242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204040242 is about 14284.2655393968. The cubic root of 204040242 is about 588.7152375110.

Adding to 204040242 its reverse (242040402), we get a palindrome (446080644).

The spelling of 204040242 in words is "two hundred four million, forty thousand, two hundred forty-two".