2811072 has 70 divisors (see below), whose sum is σ = 8181340. Its totient is φ = 851840.

The previous prime is 2811041. The next prime is 2811073. The reversal of 2811072 is 2701182.

It is a super-3 number, since 3×2811072³ = 66640333639359135744, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2811073) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 255547 + ... + 255557.

2^2811072 is an apocalyptic number.

2811072 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 2811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090670).

2811072 is an abundant number, since it is smaller than the sum of its proper divisors (5370268).

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

2811072 is an frugal number, since it uses more digits than its factorization.

2811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 2811072 is about 1676.6251817267. The cubic root of 2811072 is about 141.1315105198.

It can be divided in two parts, 28110 and 72, that added together give a palindrome (28182).

The spelling of 2811072 in words is "two million, eight hundred eleven thousand, seventy-two".