2133643216 has 40 divisors (see below), whose sum is σ = 4287839400. Its totient is φ = 1027299840.

The previous prime is 2133643181. The next prime is 2133643229. The reversal of 2133643216 is 6123463312.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 2125210000 = 2904^2 + 46100^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174586 + ... + 186406.

It is an arithmetic number, because the mean of its divisors is an integer number (107195985).

Almost surely, 2^2133643216 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 2133643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143919700).

2133643216 is an abundant number, since it is smaller than the sum of its proper divisors (2154196184).

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

2133643216 is a wasteful number, since it uses less digits than its factorization.

2133643216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247 (or 12241 counting only the distinct ones).

The product of its digits is 15552, while the sum is 31.

The square root of 2133643216 is about 46191.3759916286. The cubic root of 2133643216 is about 1287.3815073783.

The spelling of 2133643216 in words is "two billion, one hundred thirty-three million, six hundred forty-three thousand, two hundred sixteen".