2112144 has 40 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 693888.

The previous prime is 2112139. The next prime is 2112151. The reversal of 2112144 is 4412112.

It is a super-2 number, since 2×2112144² = 8922304553472, which contains 22 as substring.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3514 + ... + 4070.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

2^2112144 is an apocalyptic number.

2112144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2112144 is an abundant number, since it is smaller than the sum of its proper divisors (3423216).

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

2112144 is a wasteful number, since it uses less digits than its factorization.

2112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 2112144 is about 1453.3217124918. The cubic root of 2112144 is about 128.3042890739.

Adding to 2112144 its reverse (4412112), we get a palindrome (6524256).

Subtracting 2112144 from its reverse (4412112), we obtain a cube (2299968 = 132³).

The spelling of 2112144 in words is "two million, one hundred twelve thousand, one hundred forty-four".