2146793216 has 72 divisors (see below), whose sum is σ = 4359189744. Its totient is φ = 1055047680.

The previous prime is 2146793213. The next prime is 2146793219. The reversal of 2146793216 is 6123976412.

It is an interprime number because it is at equal distance from previous prime (2146793213) and next prime (2146793219).

It is a super-2 number, since 2×2146793216² = 9217442224527245312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146793213) by changing a digit.

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, 4957736 + ... + 4958168.

It is an arithmetic number, because the mean of its divisors is an integer number (60544302).

Almost surely, 2^2146793216 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 2146793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179594872).

2146793216 is an abundant number, since it is smaller than the sum of its proper divisors (2212396528).

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

2146793216 is a wasteful number, since it uses less digits than its factorization.

2146793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 723 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 2146793216 is about 46333.4999325542. The cubic root of 2146793216 is about 1290.0208750102.

The spelling of 2146793216 in words is "two billion, one hundred forty-six million, seven hundred ninety-three thousand, two hundred sixteen".