289581632340 has 768 divisors, whose sum is σ = 1123685498880. Its totient is φ = 53786880000.

The previous prime is 289581632323. The next prime is 289581632383. The reversal of 289581632340 is 43236185982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 251590765 + ... + 251591915.

It is an arithmetic number, because the mean of its divisors is an integer number (1463132160).

Almost surely, 2^289581632340 is an apocalyptic number.

289581632340 is a gapful number since it is divisible by the number (20) 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 289581632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561842749440).

289581632340 is an abundant number, since it is smaller than the sum of its proper divisors (834103866540).

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

289581632340 is a wasteful number, since it uses less digits than its factorization.

289581632340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 289581632340 in words is "two hundred eighty-nine billion, five hundred eighty-one million, six hundred thirty-two thousand, three hundred forty".