2682288 has 80 divisors (see below), whose sum is σ = 8808960. Its totient is φ = 765504.

The previous prime is 2682271. The next prime is 2682299. The reversal of 2682288 is 8822862.

2682288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2581 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (110112).

2^2682288 is an apocalyptic number.

2682288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404480).

2682288 is an abundant number, since it is smaller than the sum of its proper divisors (6126672).

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

2682288 is a wasteful number, since it uses less digits than its factorization.

2682288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 899 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2682288 is about 1637.7692145110. The cubic root of 2682288 is about 138.9425085295.

It can be divided in two parts, 268 and 2288, that added together give a triangular number (2556 = T₇₁).

The spelling of 2682288 in words is "two million, six hundred eighty-two thousand, two hundred eighty-eight".