82091802240 has 640 divisors, whose sum is σ = 342902229120. Its totient is φ = 18323988480.

The previous prime is 82091802187. The next prime is 82091802241. The reversal of 82091802240 is 4220819028.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×82091802240² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82091802195 and 82091802204.

It is not an unprimeable number, because it can be changed into a prime (82091802241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15601210 + ... + 15606470.

It is an arithmetic number, because the mean of its divisors is an integer number (535784733).

Almost surely, 2^82091802240 is an apocalyptic number.

82091802240 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 82091802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171451114560).

82091802240 is an abundant number, since it is smaller than the sum of its proper divisors (260810426880).

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

82091802240 is a wasteful number, since it uses less digits than its factorization.

82091802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5321 counting only the distinct ones).

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

The spelling of 82091802240 in words is "eighty-two billion, ninety-one million, eight hundred two thousand, two hundred forty".