205242234210 has 192 divisors, whose sum is σ = 594798370560. Its totient is φ = 50338229760.

The previous prime is 205242234199. The next prime is 205242234221. The reversal of 205242234210 is 12432242502.

205242234210 is a `hidden beast` number, since 20 + 5 + 2 + 422 + 3 + 4 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (205242234199) and next prime (205242234221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12814027 + ... + 12830033.

It is an arithmetic number, because the mean of its divisors is an integer number (3097908180).

Almost surely, 2^205242234210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205242234210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297399185280).

205242234210 is an abundant number, since it is smaller than the sum of its proper divisors (389556136350).

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

205242234210 is a wasteful number, since it uses less digits than its factorization.

205242234210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16330 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 205242234210 its reverse (12432242502), we get a palindrome (217674476712).

The spelling of 205242234210 in words is "two hundred five billion, two hundred forty-two million, two hundred thirty-four thousand, two hundred ten".