2138880 has 72 divisors (see below), whose sum is σ = 6843312. Its totient is φ = 569344.

The previous prime is 2138879. The next prime is 2138897. The reversal of 2138880 is 888312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3562 + ... + 4118.

It is an arithmetic number, because the mean of its divisors is an integer number (95046).

2^2138880 is an apocalyptic number.

2138880 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 2138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421656).

2138880 is an abundant number, since it is smaller than the sum of its proper divisors (4704432).

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

2138880 is an equidigital number, since it uses as much as digits as its factorization.

2138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2138880 is about 1462.4910256135. The cubic root of 2138880 is about 128.8433890571.

The spelling of 2138880 in words is "two million, one hundred thirty-eight thousand, eight hundred eighty".