2479060584 has 576 divisors, whose sum is σ = 9411292800. Its totient is φ = 573281280.

The previous prime is 2479060561. The next prime is 2479060601. The reversal of 2479060584 is 4850609742.

It is a happy number.

2479060584 is a `hidden beast` number, since 2 + 4 + 7 + 9 + 0 + 60 + 584 = 666.

2479060584 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2479060584² = 12291482758284842112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42017947 + ... + 42018005.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 2^2479060584 is an apocalyptic number.

2479060584 is a gapful number since it is divisible by the number (24) 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 2479060584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705646400).

2479060584 is an abundant number, since it is smaller than the sum of its proper divisors (6932232216).

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

2479060584 is a wasteful number, since it uses less digits than its factorization.

2479060584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2479060584 is about 49790.1655349729. The cubic root of 2479060584 is about 1353.4089582714.

The spelling of 2479060584 in words is "two billion, four hundred seventy-nine million, sixty thousand, five hundred eighty-four".