204240200202240 has 192 divisors, whose sum is σ = 654330740263200. Its totient is φ = 54387229458432.

The previous prime is 204240200202229. The next prime is 204240200202253. The reversal of 204240200202240 is 42202002042402.

204240200202240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×204240200202240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204240200202240.

It is a congruent number.

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, 17091874 + ... + 26469086.

Almost surely, 2^{204240200202240} is an apocalyptic number.

204240200202240 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 204240200202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327165370131600).

204240200202240 is an abundant number, since it is smaller than the sum of its proper divisors (450090540060960).

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

204240200202240 is an equidigital number, since it uses as much as digits as its factorization.

204240200202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377952 (or 9377932 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 204240200202240 its reverse (42202002042402), we get a palindrome (246442202244642).

The spelling of 204240200202240 in words is "two hundred four trillion, two hundred forty billion, two hundred million, two hundred two thousand, two hundred forty".