2662128 has 120 divisors (see below), whose sum is σ = 9027200. Its totient is φ = 715392.

The previous prime is 2662123. The next prime is 2662129. The reversal of 2662128 is 8212662.

2662128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662123) 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 23 ways as a sum of consecutive naturals, for example, 19083 + ... + 19221.

2^2662128 is an apocalyptic number.

2662128 is a gapful number since it is divisible by the number (28) 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 2662128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513600).

2662128 is an abundant number, since it is smaller than the sum of its proper divisors (6365072).

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

2662128 is a wasteful number, since it uses less digits than its factorization.

2662128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2662128 is about 1631.6028928633. The cubic root of 2662128 is about 138.5935368012.

The spelling of 2662128 in words is "two million, six hundred sixty-two thousand, one hundred twenty-eight".