2579328 has 48 divisors (see below), whose sum is σ = 7425600. Its totient is φ = 859392.

The previous prime is 2579323. The next prime is 2579329. The reversal of 2579328 is 8239752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁵ + 5⁹ + 7⁴ + 9⁵ + 3¹² + 2¹⁵ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 2579292 and 2579301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (154700).

2^2579328 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 2579328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712800).

2579328 is an abundant number, since it is smaller than the sum of its proper divisors (4846272).

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

2579328 is a wasteful number, since it uses less digits than its factorization.

2579328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2244 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2579328 is about 1606.0286423349. The cubic root of 2579328 is about 137.1414880816.

The spelling of 2579328 in words is "two million, five hundred seventy-nine thousand, three hundred twenty-eight".