205035024020 has 24 divisors (see below), whose sum is σ = 430904560968. Its totient is φ = 81950960000.

The previous prime is 205035024017. The next prime is 205035024053. The reversal of 205035024020 is 20420530502.

It can be written as a sum of positive squares in 4 ways, for example, as 1998268804 + 203036755216 = 44702^2 + 450596^2 .

It is a super-2 number, since 2×205035024020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3913931 + ... + 3965970.

It is an arithmetic number, because the mean of its divisors is an integer number (17954356707).

Almost surely, 2^205035024020 is an apocalyptic number.

205035024020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205035024020 is an abundant number, since it is smaller than the sum of its proper divisors (225869536948).

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

205035024020 is a wasteful number, since it uses less digits than its factorization.

205035024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7881211 (or 7881209 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

Adding to 205035024020 its reverse (20420530502), we get a palindrome (225455554522).

The spelling of 205035024020 in words is "two hundred five billion, thirty-five million, twenty-four thousand, twenty".