2589634368 has 112 divisors (see below), whose sum is σ = 7627071360. Its totient is φ = 861622272.

The previous prime is 2589634367. The next prime is 2589634379. The reversal of 2589634368 is 8634369852.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589634367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1282896 + ... + 1284912.

Almost surely, 2^2589634368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813535680).

2589634368 is an abundant number, since it is smaller than the sum of its proper divisors (5037436992).

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

2589634368 is a wasteful number, since it uses less digits than its factorization.

2589634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2765 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 2589634368 is about 50888.4502416806. The cubic root of 2589634368 is about 1373.2390668531.

The spelling of 2589634368 in words is "two billion, five hundred eighty-nine million, six hundred thirty-four thousand, three hundred sixty-eight".