2241442224 has 240 divisors, whose sum is σ = 7374861312. Its totient is φ = 622328832.

The previous prime is 2241442223. The next prime is 2241442241. The reversal of 2241442224 is 4222441422.

2241442224 is a `hidden beast` number, since 22 + 414 + 4 + 2 + 224 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2241442223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6107289 + ... + 6107655.

Almost surely, 2^2241442224 is an apocalyptic number.

2241442224 is a gapful number since it is divisible by the number (24) 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 2241442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687430656).

2241442224 is an abundant number, since it is smaller than the sum of its proper divisors (5133419088).

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

2241442224 is a wasteful number, since it uses less digits than its factorization.

2241442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 2241442224 is about 47343.8720849911. The cubic root of 2241442224 is about 1308.7072739696.

Adding to 2241442224 its reverse (4222441422), we get a palindrome (6463883646).

The spelling of 2241442224 in words is "two billion, two hundred forty-one million, four hundred forty-two thousand, two hundred twenty-four".