2880384 has 64 divisors (see below), whose sum is σ = 8253840. Its totient is φ = 884736.

The previous prime is 2880379. The next prime is 2880389. The reversal of 2880384 is 4830882.

2880384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2880379) and next prime (2880389).

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

It is a super-2 number, since 2×2880384² = 16593223974912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880389) 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, 4704 + ... + 5280.

2^2880384 is an apocalyptic number.

2880384 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 2880384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126920).

2880384 is an abundant number, since it is smaller than the sum of its proper divisors (5373456).

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

2880384 is a wasteful number, since it uses less digits than its factorization.

2880384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2880384 is about 1697.1694081617. The cubic root of 2880384 is about 142.2820552645.

The spelling of 2880384 in words is "two million, eight hundred eighty thousand, three hundred eighty-four".