2271728000 has 128 divisors (see below), whose sum is σ = 5787512640. Its totient is φ = 886272000.

The previous prime is 2271727993. The next prime is 2271728087. The reversal of 2271728000 is 8271722.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654269 + ... + 657731.

Almost surely, 2^2271728000 is an apocalyptic number.

2271728000 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 2271728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893756320).

2271728000 is an abundant number, since it is smaller than the sum of its proper divisors (3515784640).

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

2271728000 is an equidigital number, since it uses as much as digits as its factorization.

2271728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 2271728000 is about 47662.6478492331. The cubic root of 2271728000 is about 1314.5752265264.

Adding to 2271728000 its reverse (8271722), we get a palindrome (2279999722).

The spelling of 2271728000 in words is "two billion, two hundred seventy-one million, seven hundred twenty-eight thousand".