2014128 has 60 divisors (see below), whose sum is σ = 5745168. Its totient is φ = 658560.

The previous prime is 2014127. The next prime is 2014139. The reversal of 2014128 is 8214102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2014128.

It is not an unprimeable number, because it can be changed into a prime (2014121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10126 + ... + 10322.

2^2014128 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 2014128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872584).

2014128 is an abundant number, since it is smaller than the sum of its proper divisors (3731040).

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

2014128 is a wasteful number, since it uses less digits than its factorization.

2014128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2014128 is about 1419.1997745208. The cubic root of 2014128 is about 126.2880785704.

The spelling of 2014128 in words is "two million, fourteen thousand, one hundred twenty-eight".