2589312 has 64 divisors (see below), whose sum is σ = 7515360. Its totient is φ = 783360.

The previous prime is 2589289. The next prime is 2589313. The reversal of 2589312 is 2139852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2589312.

It is not an unprimeable number, because it can be changed into a prime (2589313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3918 + ... + 4530.

2^2589312 is an apocalyptic number.

2589312 is a gapful number since it is divisible by the number (22) 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 2589312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757680).

2589312 is an abundant number, since it is smaller than the sum of its proper divisors (4926048).

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

2589312 is a wasteful number, since it uses less digits than its factorization.

2589312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 2589312 is about 1609.1339285467. The cubic root of 2589312 is about 137.3182082399.

The spelling of 2589312 in words is "two million, five hundred eighty-nine thousand, three hundred twelve".