204220320030240 has 384 divisors, whose sum is σ = 665465020416000. Its totient is φ = 52589438853120.

The previous prime is 204220320030239. The next prime is 204220320030283. The reversal of 204220320030240 is 42030023022402.

It is a happy number.

It is a super-2 number, since 2×204220320030240² (a number of 29 digits) contains 22 as substring.

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 204220320030240.

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, 26320439481 + ... + 26320447239.

It is an arithmetic number, because the mean of its divisors is an integer number (1732981824000).

Almost surely, 2^{204220320030240} is an apocalyptic number.

204220320030240 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 204220320030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332732510208000).

204220320030240 is an abundant number, since it is smaller than the sum of its proper divisors (461244700385760).

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

204220320030240 is a wasteful number, since it uses less digits than its factorization.

204220320030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360 (or 11352 counting only the distinct ones).

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

Adding to 204220320030240 its reverse (42030023022402), we get a palindrome (246250343052642).

The spelling of 204220320030240 in words is "two hundred four trillion, two hundred twenty billion, three hundred twenty million, thirty thousand, two hundred forty".