204246282240 has 2496 divisors, whose sum is σ = 1009806400512. Its totient is φ = 38220595200.

The previous prime is 204246282209. The next prime is 204246282241. The reversal of 204246282240 is 42282642402.

204246282240 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 4 + 628 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 = 204246282195 and 204246282204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204246282241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4981616620 + ... + 4981616660.

It is an arithmetic number, because the mean of its divisors is an integer number (404569872).

Almost surely, 2^204246282240 is an apocalyptic number.

204246282240 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 204246282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504903200256).

204246282240 is an abundant number, since it is smaller than the sum of its proper divisors (805560118272).

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

204246282240 is a wasteful number, since it uses less digits than its factorization.

204246282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 204246282240 in words is "two hundred four billion, two hundred forty-six million, two hundred eighty-two thousand, two hundred forty".