205442340 has 48 divisors (see below), whose sum is σ = 576945600. Its totient is φ = 54622080.

The previous prime is 205442309. The next prime is 205442357. The reversal of 205442340 is 43244502.

205442340 is digitally balanced in base 2, because in such base 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 205442340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16035 + ... + 25845.

It is an arithmetic number, because the mean of its divisors is an integer number (12019700).

Almost surely, 2^205442340 is an apocalyptic number.

205442340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205442340 is an abundant number, since it is smaller than the sum of its proper divisors (371503260).

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

205442340 is a wasteful number, since it uses less digits than its factorization.

205442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172 (or 10170 counting only the distinct ones).

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

The square root of 205442340 is about 14333.2599222926. The cubic root of 205442340 is about 590.0606468349.

Adding to 205442340 its reverse (43244502), we get a palindrome (248686842).

The spelling of 205442340 in words is "two hundred five million, four hundred forty-two thousand, three hundred forty".