2588448 has 48 divisors (see below), whose sum is σ = 6924960. Its totient is φ = 846336.

The previous prime is 2588441. The next prime is 2588461. The reversal of 2588448 is 8448852.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2588441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5436 + ... + 5892.

It is an arithmetic number, because the mean of its divisors is an integer number (144270).

2^2588448 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 2588448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462480).

2588448 is an abundant number, since it is smaller than the sum of its proper divisors (4336512).

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

2588448 is a wasteful number, since it uses less digits than its factorization.

2588448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 2588448 is about 1608.8654387487. The cubic root of 2588448 is about 137.3029331230.

It can be divided in two parts, 258844 and 8, that added together give a palindrome (258852).

The spelling of 2588448 in words is "two million, five hundred eighty-eight thousand, four hundred forty-eight".