2617216 has 64 divisors (see below), whose sum is σ = 6266880. Its totient is φ = 1064448.

The previous prime is 2617211. The next prime is 2617243. The reversal of 2617216 is 6127162.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617211) 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, 20545 + ... + 20671.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

2^2617216 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 2617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133440).

2617216 is an abundant number, since it is smaller than the sum of its proper divisors (3649664).

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

2617216 is a wasteful number, since it uses less digits than its factorization.

2617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 2617216 is about 1617.7811965776. The cubic root of 2617216 is about 137.8097216563.

The spelling of 2617216 in words is "two million, six hundred seventeen thousand, two hundred sixteen".