2713216 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 1177600.

The previous prime is 2713189. The next prime is 2713223. The reversal of 2713216 is 6123172.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57705 + ... + 57751.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

2^2713216 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 2713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2713216 is an abundant number, since it is smaller than the sum of its proper divisors (3455744).

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

2713216 is a wasteful number, since it uses less digits than its factorization.

2713216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 2713216 is about 1647.1842641308. The cubic root of 2713216 is about 139.4744924950.

Adding to 2713216 its reverse (6123172), we get a palindrome (8836388).

The spelling of 2713216 in words is "two million, seven hundred thirteen thousand, two hundred sixteen".