205242340252140 has 288 divisors, whose sum is σ = 647622461566080. Its totient is φ = 52550019637248.

The previous prime is 205242340252129. The next prime is 205242340252217. The reversal of 205242340252140 is 41252043242502.

205242340252140 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 423 + 40 + 2 + 52 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205242340252095 and 205242340252104.

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, 2146097764 + ... + 2146193396.

It is an arithmetic number, because the mean of its divisors is an integer number (2248689102660).

Almost surely, 2^{205242340252140} is an apocalyptic number.

205242340252140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205242340252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323811230783040).

205242340252140 is an abundant number, since it is smaller than the sum of its proper divisors (442380121313940).

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

205242340252140 is a wasteful number, since it uses less digits than its factorization.

205242340252140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97961 (or 97956 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 205242340252140 its reverse (41252043242502), we get a palindrome (246494383494642).

The spelling of 205242340252140 in words is "two hundred five trillion, two hundred forty-two billion, three hundred forty million, two hundred fifty-two thousand, one hundred forty".