205020324240 has 80 divisors (see below), whose sum is σ = 636308731968. Its totient is φ = 54607938048.

The previous prime is 205020324227. The next prime is 205020324251. The reversal of 205020324240 is 42423020502.

It is a happy number.

205020324240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 205020324240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296014 + ... + 705453.

Almost surely, 2^205020324240 is an apocalyptic number.

205020324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205020324240 is an abundant number, since it is smaller than the sum of its proper divisors (431288407728).

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

205020324240 is a wasteful number, since it uses less digits than its factorization.

205020324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002336 (or 1002330 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 205020324240 its reverse (42423020502), we get a palindrome (247443344742).

The spelling of 205020324240 in words is "two hundred five billion, twenty million, three hundred twenty-four thousand, two hundred forty".