205042020 has 48 divisors (see below), whose sum is σ = 576663360. Its totient is φ = 54435456.

The previous prime is 205042007. The next prime is 205042021. The reversal of 205042020 is 20240502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (205042021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279 + ... + 21201.

It is an arithmetic number, because the mean of its divisors is an integer number (12013820).

Almost surely, 2^205042020 is an apocalyptic number.

205042020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205042020 is an abundant number, since it is smaller than the sum of its proper divisors (371621340).

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

205042020 is a wasteful number, since it uses less digits than its factorization.

205042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15164 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 205042020 is about 14319.2883901401. The cubic root of 205042020 is about 589.6771383026.

Adding to 205042020 its reverse (20240502), we get a palindrome (225282522).

The spelling of 205042020 in words is "two hundred five million, forty-two thousand, twenty".