2204201835264 has 288 divisors, whose sum is σ = 6956432388864. Its totient is φ = 610794455040.

The previous prime is 2204201835259. The next prime is 2204201835287. The reversal of 2204201835264 is 4625381024022.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11657382 + ... + 11844954.

It is an arithmetic number, because the mean of its divisors is an integer number (24154279128).

Almost surely, 2^{2204201835264} is an apocalyptic number.

2204201835264 is a gapful number since it is divisible by the number (24) 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 2204201835264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478216194432).

2204201835264 is an abundant number, since it is smaller than the sum of its proper divisors (4752230553600).

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

2204201835264 is a wasteful number, since it uses less digits than its factorization.

2204201835264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187723 (or 187709 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 2204201835264 its reverse (4625381024022), we get a palindrome (6829582859286).

The spelling of 2204201835264 in words is "two trillion, two hundred four billion, two hundred one million, eight hundred thirty-five thousand, two hundred sixty-four".