2242342016 has 64 divisors (see below), whose sum is σ = 4535485080. Its totient is φ = 1104150528.

The previous prime is 2242342009. The next prime is 2242342021. The reversal of 2242342016 is 6102432422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1869697600 + 372644416 = 43240^2 + 19304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885920 + ... + 3886496.

Almost surely, 2^2242342016 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 2242342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267742540).

2242342016 is an abundant number, since it is smaller than the sum of its proper divisors (2293143064).

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

2242342016 is an equidigital number, since it uses as much as digits as its factorization.

2242342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2242342016 is about 47353.3738607926. The cubic root of 2242342016 is about 1308.8823705788.

Adding to 2242342016 its reverse (6102432422), we get a palindrome (8344774438).

The spelling of 2242342016 in words is "two billion, two hundred forty-two million, three hundred forty-two thousand, sixteen".