2121824 has 24 divisors (see below), whose sum is σ = 4249728. Its totient is φ = 1042560.

The previous prime is 2121809. The next prime is 2121829. The reversal of 2121824 is 4281212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2121796 and 2121805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1409 + ... + 2495.

It is an arithmetic number, because the mean of its divisors is an integer number (177072).

2^2121824 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 2121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124864).

2121824 is an abundant number, since it is smaller than the sum of its proper divisors (2127904).

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

2121824 is a wasteful number, since it uses less digits than its factorization.

2121824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2121824 is about 1456.6482073582. The cubic root of 2121824 is about 128.4999974766.

The spelling of 2121824 in words is "two million, one hundred twenty-one thousand, eight hundred twenty-four".