2588672 has 32 divisors (see below), whose sum is σ = 5242800. Its totient is φ = 1277952.

The previous prime is 2588671. The next prime is 2588681. The reversal of 2588672 is 2768852.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁸ + 5⁶ + 8⁴ + 8⁵ + 6⁸ + 7⁷ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32729 + ... + 32807.

2^2588672 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 2588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621400).

2588672 is an abundant number, since it is smaller than the sum of its proper divisors (2654128).

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

2588672 is an frugal number, since it uses more digits than its factorization.

2588672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 2588672 is about 1608.9350515170. The cubic root of 2588672 is about 137.3068936648.

The spelling of 2588672 in words is "two million, five hundred eighty-eight thousand, six hundred seventy-two".