289090247040 has 2304 divisors, whose sum is σ = 1323471052800. Its totient is φ = 57689210880.

The previous prime is 289090247029. The next prime is 289090247041. The reversal of 289090247040 is 40742090982.

289090247040 is a `hidden beast` number, since 2 + 8 + 90 + 90 + 2 + 470 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289090247041) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6150856297 + ... + 6150856343.

It is an arithmetic number, because the mean of its divisors is an integer number (574423200).

Almost surely, 2^289090247040 is an apocalyptic number.

289090247040 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 289090247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661735526400).

289090247040 is an abundant number, since it is smaller than the sum of its proper divisors (1034380805760).

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

289090247040 is a wasteful number, since it uses less digits than its factorization.

289090247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

It can be divided in two parts, 289090 and 247040, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 289090247040 in words is "two hundred eighty-nine billion, ninety million, two hundred forty-seven thousand, forty".