205105242240 has 192 divisors, whose sum is σ = 732677189400. Its totient is φ = 52808663040.

The previous prime is 205105242229. The next prime is 205105242263. The reversal of 205105242240 is 42242501502.

205105242240 is a `hidden beast` number, since 20 + 510 + 52 + 42 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111337003584 + 93768238656 = 333672^2 + 306216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446901 + ... + 780980.

Almost surely, 2^205105242240 is an apocalyptic number.

205105242240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205105242240 is an abundant number, since it is smaller than the sum of its proper divisors (527571947160).

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

205105242240 is a wasteful number, since it uses less digits than its factorization.

205105242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227935 (or 1227920 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 205105242240 its reverse (42242501502), we get a palindrome (247347743742).

The spelling of 205105242240 in words is "two hundred five billion, one hundred five million, two hundred forty-two thousand, two hundred forty".