2271808000 has 320 divisors, whose sum is σ = 7078046976. Its totient is φ = 706560000.

The previous prime is 2271807947. The next prime is 2271808013. The reversal of 2271808000 is 8081722.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2271808000² = 10322223177728000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2271808000.

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, 4927770 + ... + 4928230.

Almost surely, 2^2271808000 is an apocalyptic number.

2271808000 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 2271808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539023488).

2271808000 is an abundant number, since it is smaller than the sum of its proper divisors (4806238976).

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

2271808000 is an equidigital number, since it uses as much as digits as its factorization.

2271808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2271808000 is about 47663.4870734402. The cubic root of 2271808000 is about 1314.5906574794.

Adding to 2271808000 its reverse (8081722), we get a palindrome (2279889722).

The spelling of 2271808000 in words is "two billion, two hundred seventy-one million, eight hundred eight thousand".