2178880 has 56 divisors (see below), whose sum is σ = 5669280. Its totient is φ = 791040.

The previous prime is 2178877. The next prime is 2178889. The reversal of 2178880 is 888712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2178889) 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, 3211 + ... + 3829.

2^2178880 is an apocalyptic number.

2178880 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 2178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834640).

2178880 is an abundant number, since it is smaller than the sum of its proper divisors (3490400).

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

2178880 is a wasteful number, since it uses less digits than its factorization.

2178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 2178880 is about 1476.1029774375. The cubic root of 2178880 is about 129.6416164678.

Subtracting from 2178880 its product of nonzero digits (7168), we obtain a palindrome (2171712).

The spelling of 2178880 in words is "two million, one hundred seventy-eight thousand, eight hundred eighty".