2042144 has 24 divisors (see below), whose sum is σ = 4330620. Its totient is φ = 942336.

The previous prime is 2042129. The next prime is 2042149. The reversal of 2042144 is 4412402.

It can be written as a sum of positive squares in 2 ways, for example, as 1993744 + 48400 = 1412^2 + 220^2 .

It is not an unprimeable number, because it can be changed into a prime (2042149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2039 + ... + 2870.

2^2042144 is an apocalyptic number.

It is an amenable number.

2042144 is an abundant number, since it is smaller than the sum of its proper divisors (2288476).

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

2042144 is a wasteful number, since it uses less digits than its factorization.

2042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2042144 is about 1429.0360387338. The cubic root of 2042144 is about 126.8709292780.

Adding to 2042144 its reverse (4412402), we get a palindrome (6454546).

The spelling of 2042144 in words is "two million, forty-two thousand, one hundred forty-four".