2406816 has 72 divisors (see below), whose sum is σ = 7007364. Its totient is φ = 783360.

The previous prime is 2406799. The next prime is 2406821. The reversal of 2406816 is 6186042.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 156816 = 1500^2 + 396^2 .

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 2406816.

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, 17500 + ... + 17636.

2^2406816 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 2406816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503682).

2406816 is an abundant number, since it is smaller than the sum of its proper divisors (4600548).

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

2406816 is a wasteful number, since it uses less digits than its factorization.

2406816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

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

The square root of 2406816 is about 1551.3916333409. The cubic root of 2406816 is about 134.0132161911.

It can be divided in two parts, 240 and 6816, that added together give a square (7056 = 84²).

The spelling of 2406816 in words is "two million, four hundred six thousand, eight hundred sixteen".