2688448 has 56 divisors (see below), whose sum is σ = 6473952. Its totient is φ = 1081344.

The previous prime is 2688421. The next prime is 2688451. The reversal of 2688448 is 8448862.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 2²⁰ + 6⁷ + 8² + 8⁵ + 4⁷ + 4¹⁰ + 8⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 2688448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7440 + ... + 7792.

2^2688448 is an apocalyptic number.

2688448 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 2688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236976).

2688448 is an abundant number, since it is smaller than the sum of its proper divisors (3785504).

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

2688448 is a wasteful number, since it uses less digits than its factorization.

2688448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 2688448 is about 1639.6487428715. The cubic root of 2688448 is about 139.0487898700.

It can be divided in two parts, 2688 and 448, that added together give a square (3136 = 56²).

The spelling of 2688448 in words is "two million, six hundred eighty-eight thousand, four hundred forty-eight".