2788416 has 84 divisors (see below), whose sum is σ = 8241792. Its totient is φ = 900864.

The previous prime is 2788403. The next prime is 2788417. The reversal of 2788416 is 6148872.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21504) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27021 + ... + 27123.

2^2788416 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 2788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120896).

2788416 is an abundant number, since it is smaller than the sum of its proper divisors (5453376).

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

2788416 is a wasteful number, since it uses less digits than its factorization.

2788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2788416 is about 1669.8550835327. The cubic root of 2788416 is about 140.7513347656.

The spelling of 2788416 in words is "two million, seven hundred eighty-eight thousand, four hundred sixteen".