8052484000 has 384 divisors, whose sum is σ = 23039976960. Its totient is φ = 2737152000.

The previous prime is 8052483991. The next prime is 8052484067. The reversal of 8052484000 is 4842508.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73875946 + ... + 73876054.

It is an arithmetic number, because the mean of its divisors is an integer number (59999940).

Almost surely, 2^8052484000 is an apocalyptic number.

8052484000 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 8052484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519988480).

8052484000 is an abundant number, since it is smaller than the sum of its proper divisors (14987492960).

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

8052484000 is a wasteful number, since it uses less digits than its factorization.

8052484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 8052484000 is about 89735.6339477245. The cubic root of 8052484000 is about 2004.3641368947.

The spelling of 8052484000 in words is "eight billion, fifty-two million, four hundred eighty-four thousand".