2753984 has 28 divisors (see below), whose sum is σ = 5617464. Its totient is φ = 1338624.

The previous prime is 2753977. The next prime is 2753999. The reversal of 2753984 is 4893572.

It is a d-powerful number, because it can be written as 2²¹ + 7⁶ + 5⁵ + 3¹² + 9 + 8³ + 4⁶ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1787 + ... + 2949.

2^2753984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808732).

2753984 is an abundant number, since it is smaller than the sum of its proper divisors (2863480).

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

2753984 is a wasteful number, since it uses less digits than its factorization.

2753984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1202 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 2753984 is about 1659.5131816289. The cubic root of 2753984 is about 140.1695904004.

The spelling of 2753984 in words is "two million, seven hundred fifty-three thousand, nine hundred eighty-four".