2679744 has 56 divisors (see below), whose sum is σ = 7516368. Its totient is φ = 839680.

The previous prime is 2679737. The next prime is 2679749. The reversal of 2679744 is 4479762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2854 + ... + 3674.

2^2679744 is an apocalyptic number.

2679744 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 2679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758184).

2679744 is an abundant number, since it is smaller than the sum of its proper divisors (4836624).

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

2679744 is a wasteful number, since it uses less digits than its factorization.

2679744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 843 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 2679744 is about 1636.9923640628. The cubic root of 2679744 is about 138.8985682380.

It can be divided in two parts, 267 and 9744, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 2679744 in words is "two million, six hundred seventy-nine thousand, seven hundred forty-four".