2724 has 12 divisors (see below), whose sum is σ = 6384. Its totient is φ = 904.

The previous prime is 2719. The next prime is 2729. The reversal of 2724 is 4272.

2724 = T_{22} + T_{23} + ... +
T_{29}.

It is an interprime number because it is at equal distance from previous prime (2719) and next prime (2729).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 4, base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2729) by changing a digit.

2724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

2^{2724} is an apocalyptic number.

It is an amenable number.

2724 is an abundant number, since it is smaller than the sum of its proper divisors (3660).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192).

2724 is a wasteful number, since it uses less digits than its factorization.

2724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its digits is 112, while the sum is 15.

The square root of 2724 is about 52.1919534028. The cubic root of 2724 is about 13.9659034208.

Adding to 2724 its reverse (4272), we get a palindrome (6996).

It can be divided in two parts, 272 and 4, that added together give a triangular number (276 = T_{23}).

The spelling of 2724 in words is "two thousand, seven hundred twenty-four", and thus it is an iban number.

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