82003262430 has 128 divisors (see below), whose sum is σ = 211767275520. Its totient is φ = 20282296320.

The previous prime is 82003262371. The next prime is 82003262431. The reversal of 82003262430 is 3426230028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82003262431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2287686 + ... + 2323254.

It is an arithmetic number, because the mean of its divisors is an integer number (1654431840).

Almost surely, 2^82003262430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82003262430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105883637760).

82003262430 is an abundant number, since it is smaller than the sum of its proper divisors (129764013090).

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

82003262430 is a wasteful number, since it uses less digits than its factorization.

82003262430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35714.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 82003262430 its reverse (3426230028), we get a palindrome (85429492458).

The spelling of 82003262430 in words is "eighty-two billion, three million, two hundred sixty-two thousand, four hundred thirty".