2161080 has 160 divisors (see below), whose sum is σ = 7840800. Its totient is φ = 532224.

The previous prime is 2161031. The next prime is 2161087. The reversal of 2161080 is 801612.

2161080 = T₉₅ + T₉₆ + ... + T₂₃₉.

2161080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161087) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 74506 + ... + 74534.

It is an arithmetic number, because the mean of its divisors is an integer number (49005).

2^2161080 is an apocalyptic number.

2161080 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 2161080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920400).

2161080 is an abundant number, since it is smaller than the sum of its proper divisors (5679720).

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

2161080 is a wasteful number, since it uses less digits than its factorization.

2161080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2161080 is about 1470.0612232149. The cubic root of 2161080 is about 129.2876221591.

Adding to 2161080 its reverse (801612), we get a palindrome (2962692).

It can be divided in two parts, 216 and 1080, that added together give a 4-th power (1296 = 6⁴).

The spelling of 2161080 in words is "two million, one hundred sixty-one thousand, eighty".