82238030205240 has 512 divisors, whose sum is σ = 315175177175040. Its totient is φ = 16698816921600.

The previous prime is 82238030205181. The next prime is 82238030205251. The reversal of 82238030205240 is 4250203083228.

It is a happy number.

It is a super-2 number, since 2×82238030205240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60601032 + ... + 61943208.

It is an arithmetic number, because the mean of its divisors is an integer number (615576517920).

Almost surely, 2^{82238030205240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82238030205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157587588587520).

82238030205240 is an abundant number, since it is smaller than the sum of its proper divisors (232937146969800).

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

82238030205240 is a wasteful number, since it uses less digits than its factorization.

82238030205240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342423 (or 1342419 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 82238030205240 its reverse (4250203083228), we get a palindrome (86488233288468).

The spelling of 82238030205240 in words is "eighty-two trillion, two hundred thirty-eight billion, thirty million, two hundred five thousand, two hundred forty".