2818272 has 48 divisors (see below), whose sum is σ = 7644672. Its totient is φ = 908160.

The previous prime is 2818271. The next prime is 2818279. The reversal of 2818272 is 2728182.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2818271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2503 + ... + 3449.

It is an arithmetic number, because the mean of its divisors is an integer number (159264).

2^2818272 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 2818272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822336).

2818272 is an abundant number, since it is smaller than the sum of its proper divisors (4826400).

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

2818272 is a wasteful number, since it uses less digits than its factorization.

2818272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 2818272 is about 1678.7709790201. The cubic root of 2818272 is about 141.2519011935.

The spelling of 2818272 in words is "two million, eight hundred eighteen thousand, two hundred seventy-two".