2158880 has 48 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 848640.

The previous prime is 2158859. The next prime is 2158889. The reversal of 2158880 is 888512.

2158880 = T₂₉ + T₃₀ + ... + T₂₃₄.

It is a super-3 number, since 3×2158880³ = 30186083133321216000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2158889) 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, 16415 + ... + 16545.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

2^2158880 is an apocalyptic number.

2158880 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 2158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592).

2158880 is an abundant number, since it is smaller than the sum of its proper divisors (3030304).

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

2158880 is a wasteful number, since it uses less digits than its factorization.

2158880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 2158880 is about 1469.3127645263. The cubic root of 2158880 is about 129.2437352535.

The spelling of 2158880 in words is "two million, one hundred fifty-eight thousand, eight hundred eighty".