2180420 has 72 divisors (see below), whose sum is σ = 5429592. Its totient is φ = 732160.

The previous prime is 2180417. The next prime is 2180467. The reversal of 2180420 is 240812.

2180420 = T₃₄₁ + T₃₄₂ + ... + T₃₇₄.

2180420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 662596 + 1517824 = 814^2 + 1232^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 23 ways as a sum of consecutive naturals, for example, 41114 + ... + 41166.

It is an arithmetic number, because the mean of its divisors is an integer number (75411).

2^2180420 is an apocalyptic number.

2180420 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 2180420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714796).

2180420 is an abundant number, since it is smaller than the sum of its proper divisors (3249172).

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

2180420 is a wasteful number, since it uses less digits than its factorization.

2180420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2180420 is about 1476.6245291204. The cubic root of 2180420 is about 129.6721521974.

The spelling of 2180420 in words is "two million, one hundred eighty thousand, four hundred twenty".