2808416 has 48 divisors (see below), whose sum is σ = 6131664. Its totient is φ = 1257984.

The previous prime is 2808413. The next prime is 2808419. The reversal of 2808416 is 6148082.

It is an interprime number because it is at equal distance from previous prime (2808413) and next prime (2808419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2808413) 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, 17810 + ... + 17966.

It is an arithmetic number, because the mean of its divisors is an integer number (127743).

2^2808416 is an apocalyptic number.

2808416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065832).

2808416 is an abundant number, since it is smaller than the sum of its proper divisors (3323248).

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

2808416 is a wasteful number, since it uses less digits than its factorization.

2808416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2808416 is about 1675.8329272335. The cubic root of 2808416 is about 141.0870478368.

The spelling of 2808416 in words is "two million, eight hundred eight thousand, four hundred sixteen".