2816188416 has 84 divisors (see below), whose sum is σ = 8135371842. Its totient is φ = 938704896.

The previous prime is 2816188411. The next prime is 2816188433. The reversal of 2816188416 is 6148816182.

2816188416 is a `hidden beast` number, since 28 + 1 + 618 + 8 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2549846016 + 266342400 = 50496^2 + 16320^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2816188411) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 54630 + ... + 92826.

Almost surely, 2^2816188416 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 2816188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067685921).

2816188416 is an abundant number, since it is smaller than the sum of its proper divisors (5319183426).

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

2816188416 is an equidigital number, since it uses as much as digits as its factorization.

2816188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38229 (or 38202 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 2816188416 is about 53067.7719147884. The cubic root of 2816188416 is about 1412.1708284144.

The spelling of 2816188416 in words is "two billion, eight hundred sixteen million, one hundred eighty-eight thousand, four hundred sixteen".