2182128 has 60 divisors (see below), whose sum is σ = 6126840. Its totient is φ = 668928.

The previous prime is 2182109. The next prime is 2182129. The reversal of 2182128 is 8212812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2182098 and 2182107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7978 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (102114).

2^2182128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063420).

2182128 is an abundant number, since it is smaller than the sum of its proper divisors (3944712).

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

2182128 is a wasteful number, since it uses less digits than its factorization.

2182128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 2182128 is about 1477.2027619795. The cubic root of 2182128 is about 129.7060022859.

It can be divided in two parts, 218 and 2128, that added together give a triangular number (2346 = T₆₈).

The spelling of 2182128 in words is "two million, one hundred eighty-two thousand, one hundred twenty-eight".