2667216 has 40 divisors (see below), whose sum is σ = 6950944. Its totient is φ = 881280.

The previous prime is 2667211. The next prime is 2667221. The reversal of 2667216 is 6127662.

It is an interprime number because it is at equal distance from previous prime (2667211) and next prime (2667221).

It is a super-2 number, since 2×2667216² = 14228082381312, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667211) 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, 8535 + ... + 8841.

2^2667216 is an apocalyptic number.

It is an amenable number.

2667216 is an abundant number, since it is smaller than the sum of its proper divisors (4283728).

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

2667216 is a wasteful number, since it uses less digits than its factorization.

2667216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2667216 is about 1633.1613514898. The cubic root of 2667216 is about 138.6817763778.

The spelling of 2667216 in words is "two million, six hundred sixty-seven thousand, two hundred sixteen".