204035925240 has 640 divisors, whose sum is σ = 837021081600. Its totient is φ = 43571727360.

The previous prime is 204035925227. The next prime is 204035925281. The reversal of 204035925240 is 42529530402.

204035925240 is a `hidden beast` number, since 2 + 0 + 40 + 3 + 5 + 92 + 524 + 0 = 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 = 204035925195 and 204035925204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20384317 + ... + 20394323.

It is an arithmetic number, because the mean of its divisors is an integer number (1307845440).

Almost surely, 2^204035925240 is an apocalyptic number.

204035925240 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 204035925240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418510540800).

204035925240 is an abundant number, since it is smaller than the sum of its proper divisors (632985156360).

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

204035925240 is a wasteful number, since it uses less digits than its factorization.

204035925240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10084 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 204035925240 in words is "two hundred four billion, thirty-five million, nine hundred twenty-five thousand, two hundred forty".