2124144 has 100 divisors (see below), whose sum is σ = 6751800. Its totient is φ = 639360.

The previous prime is 2124139. The next prime is 2124149. The reversal of 2124144 is 4414212.

It is an interprime number because it is at equal distance from previous prime (2124139) and next prime (2124149).

It is a super-3 number, since 3×2124144³ = 28752335011694333952, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14182 + ... + 14330.

It is an arithmetic number, because the mean of its divisors is an integer number (67518).

2^2124144 is an apocalyptic number.

2124144 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 2124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375900).

2124144 is an abundant number, since it is smaller than the sum of its proper divisors (4627656).

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

2124144 is a wasteful number, since it uses less digits than its factorization.

2124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2124144 is about 1457.4443385598. Note that the first 3 decimals coincide. The cubic root of 2124144 is about 128.5468143357.

Adding to 2124144 its reverse (4414212), we get a palindrome (6538356).

It can be divided in two parts, 212 and 4144, that added together give a square (4356 = 66²).

The spelling of 2124144 in words is "two million, one hundred twenty-four thousand, one hundred forty-four".