2811984 has 40 divisors (see below), whose sum is σ = 8303040. Its totient is φ = 803328.

The previous prime is 2811983. The next prime is 2811989. The reversal of 2811984 is 4891182.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811983) 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, 3849 + ... + 4520.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

2^2811984 is an apocalyptic number.

2811984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2811984 is an abundant number, since it is smaller than the sum of its proper divisors (5491056).

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

2811984 is a wasteful number, since it uses less digits than its factorization.

2811984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8381 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 2811984 is about 1676.8971345911. The cubic root of 2811984 is about 141.1467713670.

It can be divided in two parts, 28119 and 84, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 2811984 in words is "two million, eight hundred eleven thousand, nine hundred eighty-four".