2163824 has 40 divisors (see below), whose sum is σ = 4603872. Its totient is φ = 979200.

The previous prime is 2163823. The next prime is 2163827. The reversal of 2163824 is 4283612.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2163793 and 2163802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20957 + ... + 21059.

2^2163824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301936).

2163824 is an abundant number, since it is smaller than the sum of its proper divisors (2440048).

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

2163824 is a wasteful number, since it uses less digits than its factorization.

2163824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 2163824 is about 1470.9942216066. The cubic root of 2163824 is about 129.3423193766.

The spelling of 2163824 in words is "two million, one hundred sixty-three thousand, eight hundred twenty-four".