2727216 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 885312.

The previous prime is 2727209. The next prime is 2727223. The reversal of 2727216 is 6127272.

It is an interprime number because it is at equal distance from previous prime (2727209) and next prime (2727223).

It is a super-2 number, since 2×2727216² = 14875414221312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2727216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25435 + ... + 25541.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

2^2727216 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 2727216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2727216 is an abundant number, since it is smaller than the sum of its proper divisors (5307984).

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

2727216 is a wasteful number, since it uses less digits than its factorization.

2727216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 2727216 is about 1651.4284725655. The cubic root of 2727216 is about 139.7139738571.

The spelling of 2727216 in words is "two million, seven hundred twenty-seven thousand, two hundred sixteen".