2328144 has 120 divisors (see below), whose sum is σ = 7624512. Its totient is φ = 599040.

The previous prime is 2328143. The next prime is 2328169. The reversal of 2328144 is 4418232.

2328144 = 218² + 219² + ... + 258².

It is a super-3 number, since 3×2328144³ = 37857398871333629952, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56764 + ... + 56804.

2^2328144 is an apocalyptic number.

2328144 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 2328144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812256).

2328144 is an abundant number, since it is smaller than the sum of its proper divisors (5296368).

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

2328144 is a wasteful number, since it uses less digits than its factorization.

2328144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2328144 is about 1525.8256781166. The cubic root of 2328144 is about 132.5368403552.

The spelling of 2328144 in words is "two million, three hundred twenty-eight thousand, one hundred forty-four".