204052122288 has 360 divisors, whose sum is σ = 681078408192. Its totient is φ = 55852955136.

The previous prime is 204052122283. The next prime is 204052122311. The reversal of 204052122288 is 882221250402.

It is a happy number.

204052122288 is a `hidden beast` number, since 2 + 0 + 405 + 21 + 2 + 228 + 8 = 666.

It is a super-2 number, since 2×204052122288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204052122283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92455681 + ... + 92457887.

Almost surely, 2^204052122288 is an apocalyptic number.

204052122288 is a gapful number since it is divisible by the number (28) 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 204052122288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340539204096).

204052122288 is an abundant number, since it is smaller than the sum of its proper divisors (477026285904).

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

204052122288 is a wasteful number, since it uses less digits than its factorization.

204052122288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 204052122288 in words is "two hundred four billion, fifty-two million, one hundred twenty-two thousand, two hundred eighty-eight".