2186120 has 64 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 806400.

The previous prime is 2186113. The next prime is 2186141. The reversal of 2186120 is 216812.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2186092 and 2186101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50819 + ... + 50861.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

2^2186120 is an apocalyptic number.

2186120 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 2186120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2186120 is an abundant number, since it is smaller than the sum of its proper divisors (3136120).

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

2186120 is a wasteful number, since it uses less digits than its factorization.

2186120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2186120 is about 1478.5533470254. The cubic root of 2186120 is about 129.7850491207.

The spelling of 2186120 in words is "two million, one hundred eighty-six thousand, one hundred twenty".