2933721216 has 192 divisors, whose sum is σ = 8721367200. Its totient is φ = 945991680.

The previous prime is 2933721191. The next prime is 2933721223. The reversal of 2933721216 is 6121273392.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 8454355 + ... + 8454701.

Almost surely, 2^2933721216 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 2933721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360683600).

2933721216 is an abundant number, since it is smaller than the sum of its proper divisors (5787645984).

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

2933721216 is a wasteful number, since it uses less digits than its factorization.

2933721216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 572 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2933721216 is about 54163.8367917193. The cubic root of 2933721216 is about 1431.5492063359.

The spelling of 2933721216 in words is "two billion, nine hundred thirty-three million, seven hundred twenty-one thousand, two hundred sixteen".