2479509120 has 512 divisors, whose sum is σ = 9376819200. Its totient is φ = 550748160.

The previous prime is 2479509119. The next prime is 2479509173. The reversal of 2479509120 is 219059742.

It is a super-2 number, since 2×2479509120² = 12295930952326348800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14847277 + ... + 14847443.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^2479509120 is an apocalyptic number.

2479509120 is a gapful number since it is divisible by the number (20) 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 2479509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2479509120 is an abundant number, since it is smaller than the sum of its proper divisors (6897310080).

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

2479509120 is a wasteful number, since it uses less digits than its factorization.

2479509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2479509120 is about 49794.6695942447. The cubic root of 2479509120 is about 1353.4905773649.

The spelling of 2479509120 in words is "two billion, four hundred seventy-nine million, five hundred nine thousand, one hundred twenty".