2877312 has 64 divisors (see below), whose sum is σ = 7833600. Its totient is φ = 935424.

The previous prime is 2877307. The next prime is 2877313. The reversal of 2877312 is 2137782.

2877312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2877312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2877313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22593 + ... + 22719.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

2^2877312 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 2877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800).

2877312 is an abundant number, since it is smaller than the sum of its proper divisors (4956288).

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

2877312 is a wasteful number, since it uses less digits than its factorization.

2877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 2877312 is about 1696.2641303759. The cubic root of 2877312 is about 142.2314548404.

The spelling of 2877312 in words is "two million, eight hundred seventy-seven thousand, three hundred twelve".