2479359168 has 336 divisors, whose sum is σ = 8627254272. Its totient is φ = 670464000.

The previous prime is 2479359163. The next prime is 2479359283. The reversal of 2479359168 is 8619539742.

2479359168 is a `hidden beast` number, since 2 + 47 + 9 + 3 + 591 + 6 + 8 = 666.

It is a super-2 number, since 2×2479359168² = 12294443767891304448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2479359161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552923 + ... + 2553893.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 2^2479359168 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 2479359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313627136).

2479359168 is an abundant number, since it is smaller than the sum of its proper divisors (6147895104).

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

2479359168 is a wasteful number, since it uses less digits than its factorization.

2479359168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1031 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 2479359168 is about 49793.1638681456. The cubic root of 2479359168 is about 1353.4632920299.

The spelling of 2479359168 in words is "two billion, four hundred seventy-nine million, three hundred fifty-nine thousand, one hundred sixty-eight".