2228181120 has 576 divisors, whose sum is σ = 8888443200. Its totient is φ = 512962560.

The previous prime is 2228181113. The next prime is 2228181169. The reversal of 2228181120 is 211818222.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2228181120² = 9929582207048908800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16030011 + ... + 16030149.

It is an arithmetic number, because the mean of its divisors is an integer number (15431325).

Almost surely, 2^2228181120 is an apocalyptic number.

2228181120 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 2228181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444221600).

2228181120 is an abundant number, since it is smaller than the sum of its proper divisors (6660262080).

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

2228181120 is a wasteful number, since it uses less digits than its factorization.

2228181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2228181120 is about 47203.6134210084. The cubic root of 2228181120 is about 1306.1212541624.

Adding to 2228181120 its reverse (211818222), we get a palindrome (2439999342).

The spelling of 2228181120 in words is "two billion, two hundred twenty-eight million, one hundred eighty-one thousand, one hundred twenty".