2718816 has 48 divisors (see below), whose sum is σ = 7225344. Its totient is φ = 895104.

The previous prime is 2718811. The next prime is 2718817. The reversal of 2718816 is 6188172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2718811) 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, 12081 + ... + 12303.

It is an arithmetic number, because the mean of its divisors is an integer number (150528).

2^2718816 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 2718816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612672).

2718816 is an abundant number, since it is smaller than the sum of its proper divisors (4506528).

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

2718816 is a wasteful number, since it uses less digits than its factorization.

2718816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 2718816 is about 1648.8832584510. The cubic root of 2718816 is about 139.5703836703.

The spelling of 2718816 in words is "two million, seven hundred eighteen thousand, eight hundred sixteen".