2676416 has 56 divisors (see below), whose sum is σ = 5852160. Its totient is φ = 1209600.

The previous prime is 2676409. The next prime is 2676419. The reversal of 2676416 is 6146762.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2¹⁹ + 6² + 7⁷ + 6² + 4¹⁰ + 1 + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (2676419) 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, 37661 + ... + 37731.

2^2676416 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 2676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926080).

2676416 is an abundant number, since it is smaller than the sum of its proper divisors (3175744).

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

2676416 is a wasteful number, since it uses less digits than its factorization.

2676416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 2676416 is about 1635.9755499395. The cubic root of 2676416 is about 138.8410445931.

2676416 divided by its sum of digits (32) gives a palindrome (83638).

The spelling of 2676416 in words is "two million, six hundred seventy-six thousand, four hundred sixteen".