2768216 has 32 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 1239840.

The previous prime is 2768209. The next prime is 2768231. The reversal of 2768216 is 6128672.

2768216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7115 + ... + 7493.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

2^2768216 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 2768216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2768216 is an abundant number, since it is smaller than the sum of its proper divisors (2977384).

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

2768216 is a wasteful number, since it uses less digits than its factorization.

2768216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2768216 is about 1663.7956605305. The cubic root of 2768216 is about 140.4106311433.

The spelling of 2768216 in words is "two million, seven hundred sixty-eight thousand, two hundred sixteen".