2116880 has 40 divisors (see below), whose sum is σ = 5035392. Its totient is φ = 827264.

The previous prime is 2116867. The next prime is 2116901. The reversal of 2116880 is 886112.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3479 + ... + 4041.

2^2116880 is an apocalyptic number.

2116880 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 2116880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517696).

2116880 is an abundant number, since it is smaller than the sum of its proper divisors (2918512).

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

2116880 is a wasteful number, since it uses less digits than its factorization.

2116880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 2116880 is about 1454.9501709681. The cubic root of 2116880 is about 128.4001151644.

Subtracting from 2116880 its product of nonzero digits (768), we obtain a palindrome (2116112).

The spelling of 2116880 in words is "two million, one hundred sixteen thousand, eight hundred eighty".