2680416 has 72 divisors (see below), whose sum is σ = 7842744. Its totient is φ = 867840.

The previous prime is 2680409. The next prime is 2680421. The reversal of 2680416 is 6140862.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2680416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11695 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

2^2680416 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 2680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921372).

2680416 is an abundant number, since it is smaller than the sum of its proper divisors (5162328).

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

2680416 is a wasteful number, since it uses less digits than its factorization.

2680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2680416 is about 1637.1976056665. The cubic root of 2680416 is about 138.9101778093.

The spelling of 2680416 in words is "two million, six hundred eighty thousand, four hundred sixteen".