2481147360 has 144 divisors (see below), whose sum is σ = 8583264144. Its totient is φ = 652548096.

The previous prime is 2481147329. The next prime is 2481147401. The reversal of 2481147360 is 637411842.

2481147360 is a `hidden beast` number, since 2 + 481 + 147 + 36 + 0 = 666.

2481147360 is digitally balanced in base 2, because in such base 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 (144).

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 23 ways as a sum of consecutive naturals, for example, 93319 + ... + 116921.

It is an arithmetic number, because the mean of its divisors is an integer number (59606001).

Almost surely, 2^2481147360 is an apocalyptic number.

2481147360 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 2481147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291632072).

2481147360 is an abundant number, since it is smaller than the sum of its proper divisors (6102116784).

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

2481147360 is a wasteful number, since it uses less digits than its factorization.

2481147360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23697 (or 23686 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2481147360 is about 49811.1168314865. The cubic root of 2481147360 is about 1353.7886006340.

The spelling of 2481147360 in words is "two billion, four hundred eighty-one million, one hundred forty-seven thousand, three hundred sixty".