2768416 has 48 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 1115136.

The previous prime is 2768413. The next prime is 2768417. The reversal of 2768416 is 6148672.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2768413) 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, 3445 + ... + 4171.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

2^2768416 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 2768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2768416 is an abundant number, since it is smaller than the sum of its proper divisors (3836000).

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

2768416 is a wasteful number, since it uses less digits than its factorization.

2768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 2768416 is about 1663.8557629795. The cubic root of 2768416 is about 140.4140125570.

The spelling of 2768416 in words is "two million, seven hundred sixty-eight thousand, four hundred sixteen".