2740672 has 56 divisors (see below), whose sum is σ = 6309360. Its totient is φ = 1167360.

The previous prime is 2740667. The next prime is 2740721. The reversal of 2740672 is 2760472.

It is a super-3 number, since 3×2740672³ = 61757889101771833344, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 2¹⁹ + 7³ + 4⁵ + 0 + 6³ + 7⁶ + 2²¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 2740672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11854 + ... + 12082.

2^2740672 is an apocalyptic number.

2740672 is a gapful number since it is divisible by the number (22) 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 2740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154680).

2740672 is an abundant number, since it is smaller than the sum of its proper divisors (3568688).

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

2740672 is a wasteful number, since it uses less digits than its factorization.

2740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2740672 is about 1655.4975083038. The cubic root of 2740672 is about 139.9433784636.

The spelling of 2740672 in words is "two million, seven hundred forty thousand, six hundred seventy-two".