2752416 has 72 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 867456.

The previous prime is 2752403. The next prime is 2752417. The reversal of 2752416 is 6142572.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2752416.

It is not an unprimeable number, because it can be changed into a prime (2752417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5221 + ... + 5723.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

2^2752416 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 2752416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2752416 is an abundant number, since it is smaller than the sum of its proper divisors (5503104).

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

2752416 is a wasteful number, since it uses less digits than its factorization.

2752416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 527 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2752416 is about 1659.0406866620. The cubic root of 2752416 is about 140.1429831721.

Adding to 2752416 its reverse (6142572), we get a palindrome (8894988).

The spelling of 2752416 in words is "two million, seven hundred fifty-two thousand, four hundred sixteen".