2148288 has 56 divisors (see below), whose sum is σ = 5803392. Its totient is φ = 701184.

The previous prime is 2148287. The next prime is 2148301. The reversal of 2148288 is 8828412.

2148288 is nontrivially palindromic in base 7.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148287) 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, 12781 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (103632).

2^2148288 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 2148288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901696).

2148288 is an abundant number, since it is smaller than the sum of its proper divisors (3655104).

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

2148288 is a wasteful number, since it uses less digits than its factorization.

2148288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 2148288 is about 1465.7039264463. The cubic root of 2148288 is about 129.0320213759.

The spelling of 2148288 in words is "two million, one hundred forty-eight thousand, two hundred eighty-eight".