2042144125 has 128 divisors (see below), whose sum is σ = 3312451584. Its totient is φ = 1224115200.

The previous prime is 2042144119. The next prime is 2042144129. The reversal of 2042144125 is 5214412402.

It is not a de Polignac number, because 2042144125 - 2¹³ = 2042135933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2042144125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042144129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16079812 + ... + 16079938.

It is an arithmetic number, because the mean of its divisors is an integer number (25878528).

Almost surely, 2^2042144125 is an apocalyptic number.

2042144125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2042144125 is a deficient number, since it is larger than the sum of its proper divisors (1270307459).

2042144125 is a wasteful number, since it uses less digits than its factorization.

2042144125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2042144125 is about 45190.0887916809. The cubic root of 2042144125 is about 1268.7093186662.

Adding to 2042144125 its reverse (5214412402), we get a palindrome (7256556527).

It can be divided in two parts, 20421 and 44125, that added together give a palindrome (64546).

The spelling of 2042144125 in words is "two billion, forty-two million, one hundred forty-four thousand, one hundred twenty-five".