2214528 has 64 divisors (see below), whose sum is σ = 6038400. Its totient is φ = 718848.

The previous prime is 2214521. The next prime is 2214559. The reversal of 2214528 is 8254122.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2214498 and 2214507.

It is not an unprimeable number, because it can be changed into a prime (2214521) by changing a digit.

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, 27993 + ... + 28071.

It is an arithmetic number, because the mean of its divisors is an integer number (94350).

2^2214528 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 2214528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019200).

2214528 is an abundant number, since it is smaller than the sum of its proper divisors (3823872).

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

2214528 is an equidigital number, since it uses as much as digits as its factorization.

2214528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 2214528 is about 1488.1290266640. The cubic root of 2214528 is about 130.3448045726.

The spelling of 2214528 in words is "two million, two hundred fourteen thousand, five hundred twenty-eight".