2129824 has 48 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 967680.

The previous prime is 2129821. The next prime is 2129837. The reversal of 2129824 is 4289212.

It is a junction number, because it is equal to n+sod(n) for n = 2129792 and 2129801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129821) 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, 18792 + ... + 18904.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

2^2129824 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 2129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2129824 is an abundant number, since it is smaller than the sum of its proper divisors (2466656).

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

2129824 is a wasteful number, since it uses less digits than its factorization.

2129824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 2129824 is about 1459.3916540806. The cubic root of 2129824 is about 128.6612912046.

The spelling of 2129824 in words is "two million, one hundred twenty-nine thousand, eight hundred twenty-four".