204242042020 has 24 divisors (see below), whose sum is σ = 439369467768. Its totient is φ = 79704211200.

The previous prime is 204242041999. The next prime is 204242042027. The reversal of 204242042020 is 20240242402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2691326884 + 201550715136 = 51878^2 + 448944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204242041982 and 204242042000.

It is not an unprimeable number, because it can be changed into a prime (204242042027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124537011 + ... + 124538650.

It is an arithmetic number, because the mean of its divisors is an integer number (18307061157).

Almost surely, 2^204242042020 is an apocalyptic number.

204242042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242042020 is an abundant number, since it is smaller than the sum of its proper divisors (235127425748).

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

204242042020 is a wasteful number, since it uses less digits than its factorization.

204242042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249075711 (or 249075709 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 204242042020 its reverse (20240242402), we get a palindrome (224482284422).

The spelling of 204242042020 in words is "two hundred four billion, two hundred forty-two million, forty-two thousand, twenty".