82004022020 has 12 divisors (see below), whose sum is σ = 172208446284. Its totient is φ = 32801608800.

The previous prime is 82004022019. The next prime is 82004022073. The reversal of 82004022020 is 2022040028.

It can be written as a sum of positive squares in 2 ways, for example, as 50723147524 + 31280874496 = 225218^2 + 176864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4100201101 = 82004022020 / (8 + 2 + 0 + 0 + 4 + 0 + 2 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 82004021983 and 82004022001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2050100531 + ... + 2050100570.

It is an arithmetic number, because the mean of its divisors is an integer number (14350703857).

Almost surely, 2^82004022020 is an apocalyptic number.

It is an amenable number.

82004022020 is an abundant number, since it is smaller than the sum of its proper divisors (90204424264).

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

82004022020 is a wasteful number, since it uses less digits than its factorization.

82004022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100201110 (or 4100201108 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 82004022020 its reverse (2022040028), we get a palindrome (84026062048).

The spelling of 82004022020 in words is "eighty-two billion, four million, twenty-two thousand, twenty".