2382880 has 48 divisors (see below), whose sum is σ = 5756184. Its totient is φ = 931840.

The previous prime is 2382871. The next prime is 2382881. The reversal of 2382880 is 882832.

It can be written as a sum of positive squares in 4 ways, for example, as 2226064 + 156816 = 1492^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (2382881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8340 + ... + 8620.

2^2382880 is an apocalyptic number.

2382880 is a gapful number since it is divisible by the number (20) 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 2382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878092).

2382880 is an abundant number, since it is smaller than the sum of its proper divisors (3373304).

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

2382880 is a wasteful number, since it uses less digits than its factorization.

2382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2382880 is about 1543.6579932096. The cubic root of 2382880 is about 133.5674774721.

The spelling of 2382880 in words is "two million, three hundred eighty-two thousand, eight hundred eighty".