2733984 has 72 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 827520.

The previous prime is 2733979. The next prime is 2734007. The reversal of 2733984 is 4893372.

2733984 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2737 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

2^2733984 is an apocalyptic number.

2733984 is a gapful number since it is divisible by the number (24) 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 2733984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

2733984 is an abundant number, since it is smaller than the sum of its proper divisors (5757408).

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

2733984 is a wasteful number, since it uses less digits than its factorization.

2733984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2733984 is about 1653.4763379015. The cubic root of 2733984 is about 139.8294521872.

The spelling of 2733984 in words is "two million, seven hundred thirty-three thousand, nine hundred eighty-four".