2204635672512 has 1344 divisors, whose sum is σ = 8559088312320. Its totient is φ = 546372366336.

The previous prime is 2204635672453. The next prime is 2204635672513. The reversal of 2204635672512 is 2152765364022.

2204635672512 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 63 + 5 + 6 + 72 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204635672513) 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 191 ways as a sum of consecutive naturals, for example, 4382973253 + ... + 4382973755.

It is an arithmetic number, because the mean of its divisors is an integer number (6368369280).

Almost surely, 2^{2204635672512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204635672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279544156160).

2204635672512 is an abundant number, since it is smaller than the sum of its proper divisors (6354452639808).

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

2204635672512 is a wasteful number, since it uses less digits than its factorization.

2204635672512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2204635672512 in words is "two trillion, two hundred four billion, six hundred thirty-five million, six hundred seventy-two thousand, five hundred twelve".