2133561216 has 128 divisors (see below), whose sum is σ = 5851699200. Its totient is φ = 688416768.

The previous prime is 2133561203. The next prime is 2133561263. The reversal of 2133561216 is 6121653312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607145 + ... + 1608471.

It is an arithmetic number, because the mean of its divisors is an integer number (45716400).

Almost surely, 2^2133561216 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 2133561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925849600).

2133561216 is an abundant number, since it is smaller than the sum of its proper divisors (3718137984).

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

2133561216 is a wasteful number, since it uses less digits than its factorization.

2133561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1464 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 2133561216 is about 46190.4883715251. The cubic root of 2133561216 is about 1287.3650149871.

The spelling of 2133561216 in words is "two billion, one hundred thirty-three million, five hundred sixty-one thousand, two hundred sixteen".