204585204240 has 480 divisors, whose sum is σ = 731370332160. Its totient is φ = 51144597504.

The previous prime is 204585204233. The next prime is 204585204337. The reversal of 204585204240 is 42402585402.

204585204240 is a `hidden beast` number, since 2 + 0 + 4 + 58 + 520 + 42 + 40 = 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 = 204585204195 and 204585204204.

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, 187177134 + ... + 187178226.

It is an arithmetic number, because the mean of its divisors is an integer number (1523688192).

Almost surely, 2^204585204240 is an apocalyptic number.

204585204240 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 204585204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365685166080).

204585204240 is an abundant number, since it is smaller than the sum of its proper divisors (526785127920).

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

204585204240 is a wasteful number, since it uses less digits than its factorization.

204585204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 204585204240 its reverse (42402585402), we get a palindrome (246987789642).

The spelling of 204585204240 in words is "two hundred four billion, five hundred eighty-five million, two hundred four thousand, two hundred forty".