2887712 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 1344000.

The previous prime is 2887711. The next prime is 2887721. The reversal of 2887712 is 2177882.

It is not an unprimeable number, because it can be changed into a prime (2887711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40637 + ... + 40707.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

2^2887712 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 2887712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2887712 is an abundant number, since it is smaller than the sum of its proper divisors (3208672).

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

2887712 is a wasteful number, since it uses less digits than its factorization.

2887712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 12544, while the sum is 35.

The square root of 2887712 is about 1699.3269255797. The cubic root of 2887712 is about 142.4026132584.

It can be divided in two parts, 288 and 7712, that added together give a cube (8000 = 20³).

The spelling of 2887712 in words is "two million, eight hundred eighty-seven thousand, seven hundred twelve".