2479196160 has 720 divisors, whose sum is σ = 10506475980. Its totient is φ = 557383680.

The previous prime is 2479196141. The next prime is 2479196177. The reversal of 2479196160 is 616919742.

2479196160 is a `hidden beast` number, since 2 + 479 + 19 + 6 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2149991424 + 329204736 = 46368^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2479196160² = 12292827199517491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642530 + ... + 40642590.

Almost surely, 2^2479196160 is an apocalyptic number.

2479196160 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 2479196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253237990).

2479196160 is an abundant number, since it is smaller than the sum of its proper divisors (8027279820).

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

2479196160 is an equidigital number, since it uses as much as digits as its factorization.

2479196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2479196160 is about 49791.5269900412. The cubic root of 2479196160 is about 1353.4336297712.

The spelling of 2479196160 in words is "two billion, four hundred seventy-nine million, one hundred ninety-six thousand, one hundred sixty".