2753152 has 32 divisors (see below), whose sum is σ = 5560020. Its totient is φ = 1357824.

The previous prime is 2753147. The next prime is 2753189. The reversal of 2753152 is 2513572.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 10816 = 1656^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17458 + ... + 17614.

2^2753152 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 2753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780010).

2753152 is an abundant number, since it is smaller than the sum of its proper divisors (2806868).

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

2753152 is a wasteful number, since it uses less digits than its factorization.

2753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 2100, while the sum is 25.

The square root of 2753152 is about 1659.2624867693. The cubic root of 2753152 is about 140.1554735373.

The spelling of 2753152 in words is "two million, seven hundred fifty-three thousand, one hundred fifty-two".