2168880 has 80 divisors (see below), whose sum is σ = 7689984. Its totient is φ = 495360.

The previous prime is 2168879. The next prime is 2168893. The reversal of 2168880 is 888612.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035 + ... + 2325.

2^2168880 is an apocalyptic number.

2168880 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 2168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844992).

2168880 is an abundant number, since it is smaller than the sum of its proper divisors (5521104).

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

2168880 is a wasteful number, since it uses less digits than its factorization.

2168880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2168880 is about 1472.7117844303. The cubic root of 2168880 is about 129.4429816120.

The spelling of 2168880 in words is "two million, one hundred sixty-eight thousand, eight hundred eighty".