2112080 has 40 divisors (see below), whose sum is σ = 5202792. Its totient is φ = 794624.

The previous prime is 2112079. The next prime is 2112107. The reversal of 2112080 is 802112.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 1993744 = 344^2 + 1412^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 584 + ... + 2136.

2^2112080 is an apocalyptic number.

2112080 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 2112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601396).

2112080 is an abundant number, since it is smaller than the sum of its proper divisors (3090712).

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

2112080 is a wasteful number, since it uses less digits than its factorization.

2112080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2112080 is about 1453.2996938003. The cubic root of 2112080 is about 128.3029931462.

Adding to 2112080 its product of nonzero digits (32), we get a palindrome (2112112).

Adding to 2112080 its reverse (802112), we get a palindrome (2914192).

The spelling of 2112080 in words is "two million, one hundred twelve thousand, eighty".