2126880 has 144 divisors (see below), whose sum is σ = 8334144. Its totient is φ = 483840.

The previous prime is 2126867. The next prime is 2126893. The reversal of 2126880 is 886212.

It is an interprime number because it is at equal distance from previous prime (2126867) and next prime (2126893).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9975 + ... + 10185.

It is an arithmetic number, because the mean of its divisors is an integer number (57876).

2^2126880 is an apocalyptic number.

2126880 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 2126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167072).

2126880 is an abundant number, since it is smaller than the sum of its proper divisors (6207264).

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

2126880 is a wasteful number, since it uses less digits than its factorization.

2126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2126880 is about 1458.3826658323. The cubic root of 2126880 is about 128.6019821567.

The spelling of 2126880 in words is "two million, one hundred twenty-six thousand, eight hundred eighty".