204042024 has 128 divisors (see below), whose sum is σ = 605404800. Its totient is φ = 63452160.

The previous prime is 204042019. The next prime is 204042029. The reversal of 204042024 is 420240402.

It is an interprime number because it is at equal distance from previous prime (204042019) and next prime (204042029).

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

It is a junction number, because it is equal to n+sod(n) for n = 204041988 and 204042006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204042029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664479 + ... + 664785.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2^204042024 is an apocalyptic number.

204042024 is a gapful number since it is divisible by the number (24) 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 204042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302702400).

204042024 is an abundant number, since it is smaller than the sum of its proper divisors (401362776).

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

204042024 is a wasteful number, since it uses less digits than its factorization.

204042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

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

The square root of 204042024 is about 14284.3279155864. The cubic root of 204042024 is about 588.7169513682.

Adding to 204042024 its reverse (420240402), we get a palindrome (624282426).

The spelling of 204042024 in words is "two hundred four million, forty-two thousand, twenty-four".