2182720 has 56 divisors (see below), whose sum is σ = 5486400. Its totient is φ = 824832.

The previous prime is 2182709. The next prime is 2182759. The reversal of 2182720 is 272812.

2182720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2182691 and 2182700.

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, 5901 + ... + 6259.

2^2182720 is an apocalyptic number.

2182720 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 2182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743200).

2182720 is an abundant number, since it is smaller than the sum of its proper divisors (3303680).

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

2182720 is a wasteful number, since it uses less digits than its factorization.

2182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2182720 is about 1477.4031271119. The cubic root of 2182720 is about 129.7177307471.

The spelling of 2182720 in words is "two million, one hundred eighty-two thousand, seven hundred twenty".