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2744 = 2373

2744 has 16 divisors (see below), whose sum is σ = 6000. Its totient is φ = 1176.

The previous prime is 2741. The next prime is 2749. The reversal of 2744 is 4472.

The cubic root of 2744 is 14.

It is a perfect power (a cube), and thus also a powerful number.

2744 is nontrivially palindromic in base 13.

2744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an enlightened number because it begins with the concatenation of its prime factors (27).

It is a plaindrome in base 9.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741) 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, 389 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (375).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000).

2744 is an abundant number, since it is smaller than the sum of its proper divisors (3256).

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

2744 is an equidigital number, since it uses as much as digits as its factorization.

2744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 9 counting only the distinct ones).

The product of its digits is 224, while the sum is 17.

The square root of 2744 is about 52.3832034148.

Multiplying 2744 by its product of digits (224), we get a 4-th power (614656 = 284).

Subtracting 2744 from its reverse (4472), we obtain a cube (1728 = 123).

The spelling of 2744 in words is "two thousand, seven hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744