8002084416 has 56 divisors (see below), whose sum is σ = 22417613280. Its totient is φ = 2510456832.

The previous prime is 8002084397. The next prime is 8002084417. The reversal of 8002084416 is 6144802008.

It is a super-2 number, since 2×8002084416² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8002084417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1222546 + ... + 1229073.

Almost surely, 2^8002084416 is an apocalyptic number.

It is an amenable number.

8002084416 is an abundant number, since it is smaller than the sum of its proper divisors (14415528864).

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

8002084416 is a wasteful number, since it uses less digits than its factorization.

8002084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451651 (or 2451641 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8002084416 is about 89454.3705807603. The cubic root of 8002084416 is about 2000.1736862494.

The spelling of 8002084416 in words is "eight billion, two million, eighty-four thousand, four hundred sixteen".