2763984 has 40 divisors (see below), whose sum is σ = 7231680. Its totient is φ = 909568.

The previous prime is 2763977. The next prime is 2763989. The reversal of 2763984 is 4893672.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2763989) 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, 3949 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (180792).

2^2763984 is an apocalyptic number.

2763984 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 2763984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840).

2763984 is an abundant number, since it is smaller than the sum of its proper divisors (4467696).

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

2763984 is a wasteful number, since it uses less digits than its factorization.

2763984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 2763984 is about 1662.5233832942. The cubic root of 2763984 is about 140.3390422140.

The spelling of 2763984 in words is "two million, seven hundred sixty-three thousand, nine hundred eighty-four".