8022481920 has 352 divisors, whose sum is σ = 28792938240. Its totient is φ = 2118205440.

The previous prime is 8022481879. The next prime is 8022481933. The reversal of 8022481920 is 291842208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18109219 + ... + 18109661.

It is an arithmetic number, because the mean of its divisors is an integer number (81798120).

Almost surely, 2^8022481920 is an apocalyptic number.

8022481920 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 8022481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14396469120).

8022481920 is an abundant number, since it is smaller than the sum of its proper divisors (20770456320).

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

8022481920 is a wasteful number, since it uses less digits than its factorization.

8022481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8022481920 is about 89568.3086811401. The cubic root of 8022481920 is about 2001.8717410795.

The spelling of 8022481920 in words is "eight billion, twenty-two million, four hundred eighty-one thousand, nine hundred twenty".