8220581040 has 240 divisors, whose sum is σ = 31205502720. Its totient is φ = 1780047360.

The previous prime is 8220580999. The next prime is 8220581051. The reversal of 8220581040 is 401850228.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 8220580989 and 8220581007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205045 + ... + 241835.

It is an arithmetic number, because the mean of its divisors is an integer number (130022928).

Almost surely, 2^8220581040 is an apocalyptic number.

8220581040 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 8220581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602751360).

8220581040 is an abundant number, since it is smaller than the sum of its proper divisors (22984921680).

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

8220581040 is a wasteful number, since it uses less digits than its factorization.

8220581040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36840 (or 36827 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 8220581040 is about 90667.4199478512. The cubic root of 8220581040 is about 2018.2153501892.

The spelling of 8220581040 in words is "eight billion, two hundred twenty million, five hundred eighty-one thousand, forty".