2113824 has 48 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 694272.

The previous prime is 2113823. The next prime is 2113843. The reversal of 2113824 is 4283112.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2113824.

It is not an unprimeable number, because it can be changed into a prime (2113823) 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, 9199 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

2^2113824 is an apocalyptic number.

2113824 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 2113824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2113824 is an abundant number, since it is smaller than the sum of its proper divisors (3516864).

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

2113824 is a wasteful number, since it uses less digits than its factorization.

2113824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2113824 is about 1453.8995838778. The cubic root of 2113824 is about 128.3382978159.

Adding to 2113824 its reverse (4283112), we get a palindrome (6396936).

The spelling of 2113824 in words is "two million, one hundred thirteen thousand, eight hundred twenty-four".