2739744 has 120 divisors (see below), whose sum is σ = 9269568. Its totient is φ = 777600.

The previous prime is 2739733. The next prime is 2739757. The reversal of 2739744 is 4479372.

2739744 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2739699 and 2739708.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18069 + ... + 18219.

2^2739744 is an apocalyptic number.

2739744 is a gapful number since it is divisible by the number (24) 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 2739744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634784).

2739744 is an abundant number, since it is smaller than the sum of its proper divisors (6529824).

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

2739744 is a wasteful number, since it uses less digits than its factorization.

2739744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2739744 is about 1655.2172062905. The cubic root of 2739744 is about 139.9275815939.

The spelling of 2739744 in words is "two million, seven hundred thirty-nine thousand, seven hundred forty-four".