2480816160 has 168 divisors, whose sum is σ = 8787785580. Its totient is φ = 661519872.

The previous prime is 2480816141. The next prime is 2480816161. The reversal of 2480816160 is 616180842.

2480816160 is a `hidden beast` number, since 2 + 480 + 8 + 16 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2478844944 + 1971216 = 49788^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2480816161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 106006 + ... + 127274.

Almost surely, 2^2480816160 is an apocalyptic number.

2480816160 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 2480816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393892790).

2480816160 is an abundant number, since it is smaller than the sum of its proper divisors (6306969420).

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

2480816160 is an equidigital number, since it uses as much as digits as its factorization.

2480816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21302 (or 21279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2480816160 is about 49807.7921614681. The cubic root of 2480816160 is about 1353.7283603941.

The spelling of 2480816160 in words is "two billion, four hundred eighty million, eight hundred sixteen thousand, one hundred sixty".