2841312 has 48 divisors (see below), whose sum is σ = 7901712. Its totient is φ = 890880.

The previous prime is 2841301. The next prime is 2841313. The reversal of 2841312 is 2131482.

2841312 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 (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2841313) 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, 762 + ... + 2502.

It is an arithmetic number, because the mean of its divisors is an integer number (164619).

2^2841312 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 2841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950856).

2841312 is an abundant number, since it is smaller than the sum of its proper divisors (5060400).

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

2841312 is a wasteful number, since it uses less digits than its factorization.

2841312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1763 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2841312 is about 1685.6191740722. The cubic root of 2841312 is about 141.6357788869.

Adding to 2841312 its reverse (2131482), we get a palindrome (4972794).

It can be divided in two parts, 284 and 1312, that added together give a triangular number (1596 = T₅₆).

The spelling of 2841312 in words is "two million, eight hundred forty-one thousand, three hundred twelve".