204030024003240 has 256 divisors, whose sum is σ = 652422213273600. Its totient is φ = 50895751855104.

The previous prime is 204030024003217. The next prime is 204030024003283. The reversal of 204030024003240 is 42300420030402.

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 204030024003240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349234414 + ... + 349818146.

It is an arithmetic number, because the mean of its divisors is an integer number (2548524270600).

Almost surely, 2^{204030024003240} is an apocalyptic number.

204030024003240 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 204030024003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326211106636800).

204030024003240 is an abundant number, since it is smaller than the sum of its proper divisors (448392189270360).

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

204030024003240 is a wasteful number, since it uses less digits than its factorization.

204030024003240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585696 (or 585692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 204030024003240 its reverse (42300420030402), we get a palindrome (246330444033642).

The spelling of 204030024003240 in words is "two hundred four trillion, thirty billion, twenty-four million, three thousand, two hundred forty".