2736216 has 96 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 760320.

The previous prime is 2736211. The next prime is 2736221. The reversal of 2736216 is 6126372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2736211) and next prime (2736221).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2736216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2736211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30700 + ... + 30788.

It is an arithmetic number, because the mean of its divisors is an integer number (90675).

2^2736216 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 2736216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400).

2736216 is an abundant number, since it is smaller than the sum of its proper divisors (5968584).

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

2736216 is a wasteful number, since it uses less digits than its factorization.

2736216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2736216 is about 1654.1511418247. The cubic root of 2736216 is about 139.8674936734.

The spelling of 2736216 in words is "two million, seven hundred thirty-six thousand, two hundred sixteen".