2442816 has 42 divisors (see below), whose sum is σ = 7003542. Its totient is φ = 814080.

The previous prime is 2442809. The next prime is 2442827. The reversal of 2442816 is 6182442.

It can be written as a sum of positive squares in only one way, i.e., 2433600 + 9216 = 1560^2 + 96^2 .

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2442816.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1545 + ... + 2696.

It is an arithmetic number, because the mean of its divisors is an integer number (166751).

2^2442816 is an apocalyptic number.

It is an amenable number.

2442816 is an abundant number, since it is smaller than the sum of its proper divisors (4560726).

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

2442816 is a wasteful number, since it uses less digits than its factorization.

2442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4246 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2442816 is about 1562.9510548958. The cubic root of 2442816 is about 134.6780807021.

The spelling of 2442816 in words is "two million, four hundred forty-two thousand, eight hundred sixteen".