2742 has 8 divisors (see below), whose sum is σ = 5496. Its totient is φ = 912.

The previous prime is 2741. The next prime is 2749. The reversal of 2742 is 2472.

2742 is nontrivially palindromic in base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

2742 is an admirable number.

2742 is an undulating number in base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2742.

It is not an unprimeable number, because it can be changed into a prime (2741) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 223 + ... + 234.

It is an arithmetic number, because the mean of its divisors is an integer number (687).

2742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (2748).

2742 is a wasteful number, since it uses less digits than its factorization.

2742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462.

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

The square root of 2742 is about 52.3641098463. The cubic root of 2742 is about 13.9965978127.

It can be divided in two parts, 274 and 2, that added together give a triangular number (276 = T₂₃).

The spelling of 2742 in words is "two thousand, seven hundred forty-two", and thus it is an iban number.