82482996240 has 240 divisors, whose sum is σ = 281091532800. Its totient is φ = 21672188928.

The previous prime is 82482996181. The next prime is 82482996247. The reversal of 82482996240 is 4269928428.

82482996240 is a `hidden beast` number, since 8 + 2 + 4 + 8 + 2 + 9 + 9 + 624 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82482996247) 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, 34524966 + ... + 34527354.

It is an arithmetic number, because the mean of its divisors is an integer number (1171214720).

Almost surely, 2^82482996240 is an apocalyptic number.

82482996240 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 82482996240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140545766400).

82482996240 is an abundant number, since it is smaller than the sum of its proper divisors (198608536560).

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

82482996240 is a wasteful number, since it uses less digits than its factorization.

82482996240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 82482996240 in words is "eighty-two billion, four hundred eighty-two million, nine hundred ninety-six thousand, two hundred forty".