2802272 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 1203840.

The previous prime is 2802257. The next prime is 2802277. The reversal of 2802272 is 2722082.

It is a happy number.

2802272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2802277) 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, 6479 + ... + 6897.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

2^2802272 is an apocalyptic number.

2802272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2802272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2802272 is an abundant number, since it is smaller than the sum of its proper divisors (3548128).

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

2802272 is a wasteful number, since it uses less digits than its factorization.

2802272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2802272 is about 1673.9988052564. The cubic root of 2802272 is about 140.9840868650.

It can be divided in two parts, 280 and 2272, that added together give a palindrome (2552).

The spelling of 2802272 in words is "two million, eight hundred two thousand, two hundred seventy-two".