2481348280320 has 2304 divisors, whose sum is σ = 11499731066880. Its totient is φ = 493300482048.

The previous prime is 2481348280277. The next prime is 2481348280351. The reversal of 2481348280320 is 230828431842.

2481348280320 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 3 + 48 + 280 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 127 ways as a sum of consecutive naturals, for example, 37035048927 + ... + 37035048993.

It is an arithmetic number, because the mean of its divisors is an integer number (4991202720).

Almost surely, 2^{2481348280320} is an apocalyptic number.

2481348280320 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 2481348280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749865533440).

2481348280320 is an abundant number, since it is smaller than the sum of its proper divisors (9018382786560).

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

2481348280320 is an equidigital number, since it uses as much as digits as its factorization.

2481348280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2481348280320 in words is "two trillion, four hundred eighty-one billion, three hundred forty-eight million, two hundred eighty thousand, three hundred twenty".