2164824 has 48 divisors (see below), whose sum is σ = 5938920. Its totient is φ = 712320.

The previous prime is 2164817. The next prime is 2164843. The reversal of 2164824 is 4284612.

Added to its reverse (4284612) it gives a triangular number (6449436 = T₃₅₉₁).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7564 + ... + 7844.

2^2164824 is an apocalyptic number.

2164824 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 2164824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969460).

2164824 is an abundant number, since it is smaller than the sum of its proper divisors (3774096).

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

2164824 is a wasteful number, since it uses less digits than its factorization.

2164824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2164824 is about 1471.3340885061. The cubic root of 2164824 is about 129.3622412679.

Adding to 2164824 its reverse (4284612), we get a triangular number (6449436 = T₃₅₉₁).

The spelling of 2164824 in words is "two million, one hundred sixty-four thousand, eight hundred twenty-four".