204002314240 has 96 divisors (see below), whose sum is σ = 506365587000. Its totient is φ = 78786985984.

The previous prime is 204002314231. The next prime is 204002314249. The reversal of 204002314240 is 42413200402.

It is a happy number.

204002314240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204002314231) and next prime (204002314249).

It can be written as a sum of positive squares in 4 ways, for example, as 176238756864 + 27763557376 = 419808^2 + 166624^2 .

It is not an unprimeable number, because it can be changed into a prime (204002314249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46525 + ... + 640444.

Almost surely, 2^204002314240 is an apocalyptic number.

204002314240 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 204002314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253182793500).

204002314240 is an abundant number, since it is smaller than the sum of its proper divisors (302363272760).

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

204002314240 is an equidigital number, since it uses as much as digits as its factorization.

204002314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687025 (or 687005 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 204002314240 its reverse (42413200402), we get a palindrome (246415514642).

The spelling of 204002314240 in words is "two hundred four billion, two million, three hundred fourteen thousand, two hundred forty".