205752330240 has 96 divisors (see below), whose sum is σ = 658246811040. Its totient is φ = 54867279872.

The previous prime is 205752330169. The next prime is 205752330253. The reversal of 205752330240 is 42033257502.

205752330240 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 (96).

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 7 ways as a sum of consecutive naturals, for example, 3318114 + ... + 3379553.

It is an arithmetic number, because the mean of its divisors is an integer number (6856737615).

Almost surely, 2^205752330240 is an apocalyptic number.

205752330240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205752330240 is an abundant number, since it is smaller than the sum of its proper divisors (452494480800).

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

205752330240 is an equidigital number, since it uses as much as digits as its factorization.

205752330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697697 (or 6697677 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

Adding to 205752330240 its reverse (42033257502), we get a palindrome (247785587742).

The spelling of 205752330240 in words is "two hundred five billion, seven hundred fifty-two million, three hundred thirty thousand, two hundred forty".