2624128 has 64 divisors (see below), whose sum is σ = 5997600. Its totient is φ = 1133568.

The previous prime is 2624113. The next prime is 2624173. The reversal of 2624128 is 8214262.

It is a happy number.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31575 + ... + 31657.

2^2624128 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 2624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998800).

2624128 is an abundant number, since it is smaller than the sum of its proper divisors (3373472).

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

2624128 is a wasteful number, since it uses less digits than its factorization.

2624128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 2624128 is about 1619.9160472074. The cubic root of 2624128 is about 137.9309323218.

The spelling of 2624128 in words is "two million, six hundred twenty-four thousand, one hundred twenty-eight".