2746416 has 40 divisors (see below), whose sum is σ = 7343280. Its totient is φ = 883456.

The previous prime is 2746409. The next prime is 2746417. The reversal of 2746416 is 6146472.

It is not an unprimeable number, because it can be changed into a prime (2746417) 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, 406 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (183582).

2^2746416 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 2746416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671640).

2746416 is an abundant number, since it is smaller than the sum of its proper divisors (4596864).

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

2746416 is a wasteful number, since it uses less digits than its factorization.

2746416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2007 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2746416 is about 1657.2314262046. The cubic root of 2746416 is about 140.0410763823.

The spelling of 2746416 in words is "two million, seven hundred forty-six thousand, four hundred sixteen".