2697216 has 48 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 897024.

The previous prime is 2697209. The next prime is 2697229. The reversal of 2697216 is 6127962.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5925 + ... + 6363.

It is an arithmetic number, because the mean of its divisors is an integer number (150150).

2^2697216 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 2697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

2697216 is an abundant number, since it is smaller than the sum of its proper divisors (4509984).

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

2697216 is an equidigital number, since it uses as much as digits as its factorization.

2697216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 2697216 is about 1642.3203098056. The cubic root of 2697216 is about 139.1997886111.

The spelling of 2697216 in words is "two million, six hundred ninety-seven thousand, two hundred sixteen".