2241414144 has 66 divisors (see below), whose sum is σ = 6472061310. Its totient is φ = 747134976.

The previous prime is 2241414139. The next prime is 2241414167. The reversal of 2241414144 is 4414141422.

It is a happy number.

2241414144 is a `hidden beast` number, since 2 + 241 + 4 + 1 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1688223744 + 553190400 = 41088^2 + 23520^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112389 + ... + 130820.

It is an arithmetic number, because the mean of its divisors is an integer number (98061535).

Almost surely, 2^2241414144 is an apocalyptic number.

2241414144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241414144 is an abundant number, since it is smaller than the sum of its proper divisors (4230647166).

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

2241414144 is a wasteful number, since it uses less digits than its factorization.

2241414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243235 (or 243214 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2241414144 is about 47343.5755303716. The cubic root of 2241414144 is about 1308.7018089386.

Adding to 2241414144 its reverse (4414141422), we get a palindrome (6655555566).

The spelling of 2241414144 in words is "two billion, two hundred forty-one million, four hundred fourteen thousand, one hundred forty-four".