2042442144 has 36 divisors (see below), whose sum is σ = 5808195666. Its totient is φ = 680813952.

The previous prime is 2042442133. The next prime is 2042442163. The reversal of 2042442144 is 4412442402.

2042442144 is a `hidden beast` number, since 20 + 424 + 4 + 214 + 4 = 666.

2042442144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1799456400 + 242985744 = 42420^2 + 15588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3545619 + ... + 3546194.

Almost surely, 2^2042442144 is an apocalyptic number.

2042442144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2042442144 is an abundant number, since it is smaller than the sum of its proper divisors (3765753522).

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

2042442144 is a wasteful number, since it uses less digits than its factorization.

2042442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7091829 (or 7091818 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2042442144 is about 45193.3860647772. The cubic root of 2042442144 is about 1268.7710317592.

Adding to 2042442144 its reverse (4412442402), we get a palindrome (6454884546).

The spelling of 2042442144 in words is "two billion, forty-two million, four hundred forty-two thousand, one hundred forty-four".