2442144 has 24 divisors (see below), whose sum is σ = 6410880. Its totient is φ = 814016.

The previous prime is 2442133. The next prime is 2442151. The reversal of 2442144 is 4412442.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2442144³ = 43695333639488765952, which contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2442144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12624 + ... + 12815.

It is an arithmetic number, because the mean of its divisors is an integer number (267120).

2^2442144 is an apocalyptic number.

2442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442144 is an abundant number, since it is smaller than the sum of its proper divisors (3968736).

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

2442144 is a wasteful number, since it uses less digits than its factorization.

2442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25452 (or 25444 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 2442144 is about 1562.7360621679. The cubic root of 2442144 is about 134.6657299328.

Adding to 2442144 its reverse (4412442), we get a palindrome (6854586).

The spelling of 2442144 in words is "two million, four hundred forty-two thousand, one hundred forty-four".