8002488000 has 336 divisors, whose sum is σ = 28627706016. Its totient is φ = 1968844800.

The previous prime is 8002487981. The next prime is 8002488061. The reversal of 8002488000 is 8842008.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 4055014 + ... + 4056986.

It is an arithmetic number, because the mean of its divisors is an integer number (85201506).

Almost surely, 2^8002488000 is an apocalyptic number.

8002488000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313853008).

8002488000 is an abundant number, since it is smaller than the sum of its proper divisors (20625218016).

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

8002488000 is a wasteful number, since it uses less digits than its factorization.

8002488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8002488000 is about 89456.6263616061. The cubic root of 8002488000 is about 2000.2073118435.

The spelling of 8002488000 in words is "eight billion, two million, four hundred eighty-eight thousand".