2241043200 has 648 divisors, whose sum is σ = 9133540416. Its totient is φ = 539136000.

The previous prime is 2241043187. The next prime is 2241043201. The reversal of 2241043200 is 23401422.

2241043200 is a `hidden beast` number, since 224 + 10 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 (2241043201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17107135 + ... + 17107265.

Almost surely, 2^2241043200 is an apocalyptic number.

2241043200 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 2241043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566770208).

2241043200 is an abundant number, since it is smaller than the sum of its proper divisors (6892497216).

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

2241043200 is a wasteful number, since it uses less digits than its factorization.

2241043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 152 counting only the distinct ones).

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

The square root of 2241043200 is about 47339.6577934400. The cubic root of 2241043200 is about 1308.6296101934.

Adding to 2241043200 its reverse (23401422), we get a palindrome (2264444622).

The spelling of 2241043200 in words is "two billion, two hundred forty-one million, forty-three thousand, two hundred".