2481600000 has 480 divisors, whose sum is σ = 9206410752. Its totient is φ = 588800000.

The previous prime is 2481599999. The next prime is 2481600049. The reversal of 2481600000 is 61842.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 2481600000.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 52799977 + ... + 52800023.

Almost surely, 2^2481600000 is an apocalyptic number.

2481600000 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 2481600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603205376).

2481600000 is an abundant number, since it is smaller than the sum of its proper divisors (6724810752).

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

2481600000 is an frugal number, since it uses more digits than its factorization.

2481600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2481600000 is about 49815.6601883384. The cubic root of 2481600000 is about 1353.8709202929.

Adding to 2481600000 its reverse (61842), we get a palindrome (2481661842).

The spelling of 2481600000 in words is "two billion, four hundred eighty-one million, six hundred thousand".