289749189240 has 576 divisors, whose sum is σ = 1135808593920. Its totient is φ = 63806400000.

The previous prime is 289749189229. The next prime is 289749189241. The reversal of 289749189240 is 42981947982.

289749189240 is a `hidden beast` number, since 28 + 9 + 7 + 491 + 89 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289749189241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137255785 + ... + 137257895.

It is an arithmetic number, because the mean of its divisors is an integer number (1971889920).

Almost surely, 2^289749189240 is an apocalyptic number.

289749189240 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 289749189240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567904296960).

289749189240 is an abundant number, since it is smaller than the sum of its proper divisors (846059404680).

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

289749189240 is a wasteful number, since it uses less digits than its factorization.

289749189240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 289749189240 in words is "two hundred eighty-nine billion, seven hundred forty-nine million, one hundred eighty-nine thousand, two hundred forty".