2481616080 has 240 divisors, whose sum is σ = 8519871360. Its totient is φ = 647212032.

The previous prime is 2481616037. The next prime is 2481616099. The reversal of 2481616080 is 806161842.

2481616080 is a `hidden beast` number, since 2 + 48 + 1 + 6 + 1 + 608 + 0 = 666.

2481616080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8083287 + ... + 8083593.

It is an arithmetic number, because the mean of its divisors is an integer number (35499464).

Almost surely, 2^2481616080 is an apocalyptic number.

2481616080 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 2481616080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259935680).

2481616080 is an abundant number, since it is smaller than the sum of its proper divisors (6038255280).

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

2481616080 is a wasteful number, since it uses less digits than its factorization.

2481616080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 529 counting only the distinct ones).

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

The square root of 2481616080 is about 49815.8215831075. The cubic root of 2481616080 is about 1353.8738445081.

The spelling of 2481616080 in words is "two billion, four hundred eighty-one million, six hundred sixteen thousand, eighty".