2709216 has 72 divisors (see below), whose sum is σ = 8058960. Its totient is φ = 861696.

The previous prime is 2709199. The next prime is 2709233. The reversal of 2709216 is 6129072.

It is an interprime number because it is at equal distance from previous prime (2709199) and next prime (2709233).

It is a tau number, because it is divible by the number of its divisors (72).

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 2709216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6420 + ... + 6828.

It is an arithmetic number, because the mean of its divisors is an integer number (111930).

2^2709216 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 2709216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029480).

2709216 is an abundant number, since it is smaller than the sum of its proper divisors (5349744).

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

2709216 is a wasteful number, since it uses less digits than its factorization.

2709216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2709216 is about 1645.9696230490. The cubic root of 2709216 is about 139.4059179869.

The spelling of 2709216 in words is "two million, seven hundred nine thousand, two hundred sixteen".