8002021824 has 84 divisors (see below), whose sum is σ = 23495843280. Its totient is φ = 2602275840.

The previous prime is 8002021813. The next prime is 8002021831. The reversal of 8002021824 is 4281202008.

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 11 ways as a sum of consecutive naturals, for example, 145804 + ... + 193035.

It is an arithmetic number, because the mean of its divisors is an integer number (279712420).

Almost surely, 2^8002021824 is an apocalyptic number.

It is an amenable number.

8002021824 is an abundant number, since it is smaller than the sum of its proper divisors (15493821456).

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

8002021824 is a wasteful number, since it uses less digits than its factorization.

8002021824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338898 (or 338885 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8002021824 is about 89454.0207257337. The cubic root of 8002021824 is about 2000.1684711417.

The spelling of 8002021824 in words is "eight billion, two million, twenty-one thousand, eight hundred twenty-four".