2754 has 20 divisors (see below), whose sum is σ = 6534. Its totient is φ = 864.

The previous prime is 2753. The next prime is 2767. The reversal of 2754 is 4572.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2025 + 729 = 45^2 + 27^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 154 + ... + 170.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267).

2754 is an abundant number, since it is smaller than the sum of its proper divisors (3780).

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

2754 is a wasteful number, since it uses less digits than its factorization.

2754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 22 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 2754 is about 52.4785670536. The cubic root of 2754 is about 14.0169861851.

Adding to 2754 its sum of digits (18), we get a palindrome (2772).

2754 divided by its sum of digits (18) gives a triangular number (153 = T₁₇).

It can be divided in two parts, 27 and 54, that added together give a 4-th power (81 = 3⁴).

The spelling of 2754 in words is "two thousand, seven hundred fifty-four".