82003382240 has 48 divisors (see below), whose sum is σ = 208635533568. Its totient is φ = 30278171136.

The previous prime is 82003382173. The next prime is 82003382249. The reversal of 82003382240 is 4228330028.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 82003382197 and 82003382206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82003382249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19710272 + ... + 19714431.

It is an arithmetic number, because the mean of its divisors is an integer number (4346573616).

Almost surely, 2^82003382240 is an apocalyptic number.

82003382240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82003382240 is an abundant number, since it is smaller than the sum of its proper divisors (126632151328).

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

82003382240 is a wasteful number, since it uses less digits than its factorization.

82003382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39424731 (or 39424723 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 82003382240 in words is "eighty-two billion, three million, three hundred eighty-two thousand, two hundred forty".