2204064000 has 288 divisors, whose sum is σ = 8137409280. Its totient is φ = 587520000.

The previous prime is 2204063999. The next prime is 2204064001. The reversal of 2204064000 is 4604022.

2204064000 is a `hidden beast` number, since 2 + 20 + 4 + 0 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2204063999) and next prime (2204064001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2204064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862725 + ... + 865275.

Almost surely, 2^2204064000 is an apocalyptic number.

2204064000 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 2204064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068704640).

2204064000 is an abundant number, since it is smaller than the sum of its proper divisors (5933345280).

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

2204064000 is an equidigital number, since it uses as much as digits as its factorization.

2204064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2204064000 is about 46947.4599951904. The cubic root of 2204064000 is about 1301.3918032643.

Adding to 2204064000 its reverse (4604022), we get a palindrome (2208668022).

The spelling of 2204064000 in words is "two billion, two hundred four million, sixty-four thousand".