205360246340 has 24 divisors (see below), whose sum is σ = 432084286872. Its totient is φ = 81986428160.

The previous prime is 205360246291. The next prime is 205360246367. The reversal of 205360246340 is 43642063502.

205360246340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11781365764 + 193578880576 = 108542^2 + 439976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205360246340.

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, 9843719 + ... + 9864558.

It is an arithmetic number, because the mean of its divisors is an integer number (18003511953).

Almost surely, 2^205360246340 is an apocalyptic number.

205360246340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205360246340 is an abundant number, since it is smaller than the sum of its proper divisors (226724040532).

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

205360246340 is a wasteful number, since it uses less digits than its factorization.

205360246340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19708807 (or 19708805 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 205360246340 in words is "two hundred five billion, three hundred sixty million, two hundred forty-six thousand, three hundred forty".