2589408 has 96 divisors (see below), whose sum is σ = 7852320. Its totient is φ = 839808.

The previous prime is 2589407. The next prime is 2589427. The reversal of 2589408 is 8049852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589407) 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, 69966 + ... + 70002.

It is an arithmetic number, because the mean of its divisors is an integer number (81795).

2^2589408 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 2589408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926160).

2589408 is an abundant number, since it is smaller than the sum of its proper divisors (5262912).

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

2589408 is an frugal number, since it uses more digits than its factorization.

2589408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2589408 is about 1609.1637579811. The cubic root of 2589408 is about 137.3199052654.

The spelling of 2589408 in words is "two million, five hundred eighty-nine thousand, four hundred eight".