205242242502 has 16 divisors (see below), whose sum is σ = 447801256512. Its totient is φ = 62194618920.

The previous prime is 205242242437. The next prime is 205242242519.

205242242502 is nontrivially palindromic in base 10.

205242242502 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205242242502.

It is a congruent number.

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, 1554865408 + ... + 1554865539.

It is an arithmetic number, because the mean of its divisors is an integer number (27987578532).

Almost surely, 2^205242242502 is an apocalyptic number.

205242242502 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205242242502 is an abundant number, since it is smaller than the sum of its proper divisors (242559014010).

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

205242242502 is a wasteful number, since it uses less digits than its factorization.

205242242502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109730963.

The product of its (nonzero) digits is 25600, while the sum is 30.

It can be divided in two parts, 205242 and 242502, that added together give a palindrome (447744).

The spelling of 205242242502 in words is "two hundred five billion, two hundred forty-two million, two hundred forty-two thousand, five hundred two".