2724288 has 56 divisors (see below), whose sum is σ = 8241792. Its totient is φ = 777984.

The previous prime is 2724283. The next prime is 2724299. The reversal of 2724288 is 8824272.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 (2724283) 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, 331 + ... + 2357.

2^2724288 is an apocalyptic number.

2724288 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 2724288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120896).

2724288 is an abundant number, since it is smaller than the sum of its proper divisors (5517504).

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

2724288 is a wasteful number, since it uses less digits than its factorization.

2724288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2724288 is about 1650.5417292513. The cubic root of 2724288 is about 139.6639559386.

It can be divided in two parts, 272 and 4288, that added together give a triangular number (4560 = T₉₅).

The spelling of 2724288 in words is "two million, seven hundred twenty-four thousand, two hundred eighty-eight".