2213083824 has 120 divisors (see below), whose sum is σ = 7000712640. Its totient is φ = 599018112.

The previous prime is 2213083823. The next prime is 2213083871. The reversal of 2213083824 is 4283803122.

2213083824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2213083823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19927 + ... + 69449.

It is an arithmetic number, because the mean of its divisors is an integer number (58339272).

Almost surely, 2^2213083824 is an apocalyptic number.

2213083824 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 2213083824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500356320).

2213083824 is an abundant number, since it is smaller than the sum of its proper divisors (4787628816).

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

2213083824 is a wasteful number, since it uses less digits than its factorization.

2213083824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49567 (or 49554 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2213083824 is about 47043.4248753213. The cubic root of 2213083824 is about 1303.1646418089.

Adding to 2213083824 its reverse (4283803122), we get a palindrome (6496886946).

The spelling of 2213083824 in words is "two billion, two hundred thirteen million, eighty-three thousand, eight hundred twenty-four".