2748000 has 96 divisors (see below), whose sum is σ = 9041760. Its totient is φ = 729600.

The previous prime is 2747977. The next prime is 2748013. The reversal of 2748000 is 8472.

It is a happy number.

2748000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11886 + ... + 12114.

It is an arithmetic number, because the mean of its divisors is an integer number (94185).

2^2748000 is an apocalyptic number.

2748000 is a gapful number since it is divisible by the number (20) 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 2748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520880).

2748000 is an abundant number, since it is smaller than the sum of its proper divisors (6293760).

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

2748000 is a wasteful number, since it uses less digits than its factorization.

2748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2748000 is about 1657.7092628082. The cubic root of 2748000 is about 140.0679941826.

The spelling of 2748000 in words is "two million, seven hundred forty-eight thousand".