8220242880 has 336 divisors, whose sum is σ = 29819278944. Its totient is φ = 2154885120.

The previous prime is 8220242873. The next prime is 8220242881. The reversal of 8220242880 is 882420228.

8220242880 is a `hidden beast` number, since 8 + 220 + 2 + 428 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220242881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4742494 + ... + 4744226.

It is an arithmetic number, because the mean of its divisors is an integer number (88747854).

Almost surely, 2^8220242880 is an apocalyptic number.

8220242880 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 8220242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909639472).

8220242880 is an abundant number, since it is smaller than the sum of its proper divisors (21599036064).

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

8220242880 is a wasteful number, since it uses less digits than its factorization.

8220242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8220242880 is about 90665.5550912252. Note that the first 3 decimals coincide. The cubic root of 8220242880 is about 2018.1876761899.

The spelling of 8220242880 in words is "eight billion, two hundred twenty million, two hundred forty-two thousand, eight hundred eighty".