2213433728 has 256 divisors, whose sum is σ = 5569689600. Its totient is φ = 862617600.

The previous prime is 2213433683. The next prime is 2213433751. The reversal of 2213433728 is 8273343122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14098226 + ... + 14098382.

It is an arithmetic number, because the mean of its divisors is an integer number (21756600).

Almost surely, 2^2213433728 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 2213433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784844800).

2213433728 is an abundant number, since it is smaller than the sum of its proper divisors (3356255872).

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

2213433728 is a wasteful number, since it uses less digits than its factorization.

2213433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 2213433728 is about 47047.1436752541. The cubic root of 2213433728 is about 1303.2333179983.

The spelling of 2213433728 in words is "two billion, two hundred thirteen million, four hundred thirty-three thousand, seven hundred twenty-eight".