2479568 has 60 divisors (see below), whose sum is σ = 5990688. Its totient is φ = 973440.

The previous prime is 2479567. The next prime is 2479577. The reversal of 2479568 is 8659742.

2479568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2479568² = 12296514933248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18863 + ... + 18993.

2^2479568 is an apocalyptic number.

2479568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995344).

2479568 is an abundant number, since it is smaller than the sum of its proper divisors (3511120).

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

2479568 is a wasteful number, since it uses less digits than its factorization.

2479568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 2479568 is about 1574.6644086916. The cubic root of 2479568 is about 135.3501290896.

The spelling of 2479568 in words is "two million, four hundred seventy-nine thousand, five hundred sixty-eight".