2128880 has 80 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 743424.

The previous prime is 2128873. The next prime is 2128891. The reversal of 2128880 is 888212.

2128880 = 148² + 149² + ... + 212².

2128880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23876 + ... + 23964.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^2128880 is an apocalyptic number.

2128880 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 2128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2128880 is an abundant number, since it is smaller than the sum of its proper divisors (3495760).

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

2128880 is a wasteful number, since it uses less digits than its factorization.

2128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 2128880 is about 1459.0681958017. The cubic root of 2128880 is about 128.6422795855.

The spelling of 2128880 in words is "two million, one hundred twenty-eight thousand, eight hundred eighty".