2241312 has 48 divisors (see below), whose sum is σ = 6052032. Its totient is φ = 725760.

The previous prime is 2241311. The next prime is 2241313. The reversal of 2241312 is 2131422.

It is an interprime number because it is at equal distance from previous prime (2241311) and next prime (2241313).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2241291 and 2241300.

It is not an unprimeable number, because it can be changed into a prime (2241311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3237 + ... + 3867.

It is an arithmetic number, because the mean of its divisors is an integer number (126084).

2^2241312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026016).

2241312 is an abundant number, since it is smaller than the sum of its proper divisors (3810720).

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

2241312 is a wasteful number, since it uses less digits than its factorization.

2241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 2241312 is about 1497.1011989842. The cubic root of 2241312 is about 130.8681928919.

Adding to 2241312 its reverse (2131422), we get a palindrome (4372734).

The spelling of 2241312 in words is "two million, two hundred forty-one thousand, three hundred twelve".