2678688 has 72 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 873600.

The previous prime is 2678681. The next prime is 2678699. The reversal of 2678688 is 8868762.

2678688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2678681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20383 + ... + 20513.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

2^2678688 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 2678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

2678688 is an abundant number, since it is smaller than the sum of its proper divisors (5105088).

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

2678688 is a wasteful number, since it uses less digits than its factorization.

2678688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2678688 is about 1636.6697895422. The cubic root of 2678688 is about 138.8803207040.

The spelling of 2678688 in words is "two million, six hundred seventy-eight thousand, six hundred eighty-eight".