2684288 has 32 divisors (see below), whose sum is σ = 5444760. Its totient is φ = 1317888.

The previous prime is 2684287. The next prime is 2684293. The reversal of 2684288 is 8824862.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2¹⁵ + 6⁷ + 8⁴ + 4⁹ + 2²¹ + 8⁴ + 8⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8420 + ... + 8732.

2^2684288 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 2684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722380).

2684288 is an abundant number, since it is smaller than the sum of its proper divisors (2760472).

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

2684288 is an equidigital number, since it uses as much as digits as its factorization.

2684288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 2684288 is about 1638.3796873741. The cubic root of 2684288 is about 138.9770332808.

It can be divided in two parts, 268 and 4288, that multiplied together give a square (1149184 = 1072²).

The spelling of 2684288 in words is "two million, six hundred eighty-four thousand, two hundred eighty-eight".