2579104 has 48 divisors (see below), whose sum is σ = 5878656. Its totient is φ = 1100800.

The previous prime is 2579081. The next prime is 2579111. The reversal of 2579104 is 4019752.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5769 + ... + 6199.

It is an arithmetic number, because the mean of its divisors is an integer number (122472).

2^2579104 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 2579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939328).

2579104 is an abundant number, since it is smaller than the sum of its proper divisors (3299552).

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

2579104 is a wasteful number, since it uses less digits than its factorization.

2579104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2579104 is about 1605.9589035838. The cubic root of 2579104 is about 137.1375179800.

The spelling of 2579104 in words is "two million, five hundred seventy-nine thousand, one hundred four".