205002543240 has 192 divisors, whose sum is σ = 729124493760. Its totient is φ = 49540508160.

The previous prime is 205002543223. The next prime is 205002543289. The reversal of 205002543240 is 42345200502.

It is a happy number.

205002543240 is a `hidden beast` number, since 205 + 0 + 0 + 25 + 432 + 4 + 0 = 666.

205002543240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173667 + ... + 1336973.

It is an arithmetic number, because the mean of its divisors is an integer number (3797523405).

Almost surely, 2^205002543240 is an apocalyptic number.

205002543240 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 205002543240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364562246880).

205002543240 is an abundant number, since it is smaller than the sum of its proper divisors (524121950520).

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

205002543240 is a wasteful number, since it uses less digits than its factorization.

205002543240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163652 (or 163645 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 205002543240 its reverse (42345200502), we get a palindrome (247347743742).

The spelling of 205002543240 in words is "two hundred five billion, two million, five hundred forty-three thousand, two hundred forty".