2589678 has 128 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 622080.

The previous prime is 2589677. The next prime is 2589679. The reversal of 2589678 is 8769852.

2589678 is a `hidden beast` number, since 2 + 589 + 67 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2589677) and next prime (2589679).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83523 + ... + 83553.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2^2589678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2589678 is an abundant number, since it is smaller than the sum of its proper divisors (5151762).

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

2589678 is a wasteful number, since it uses less digits than its factorization.

2589678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2589678 is about 1609.2476503012. The cubic root of 2589678 is about 137.3246779246.

The spelling of 2589678 in words is "two million, five hundred eighty-nine thousand, six hundred seventy-eight".