2481460800000 has 2880 divisors, whose sum is σ = 11231821117440. Its totient is φ = 474439680000.

The previous prime is 2481460799989. The next prime is 2481460800031. The reversal of 2481460800000 is 80641842.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 107889599989 + ... + 107889600011.

It is an arithmetic number, because the mean of its divisors is an integer number (3899937888).

Almost surely, 2^{2481460800000} is an apocalyptic number.

2481460800000 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 2481460800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615910558720).

2481460800000 is an abundant number, since it is smaller than the sum of its proper divisors (8750360317440).

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

2481460800000 is an equidigital number, since it uses as much as digits as its factorization.

2481460800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 2481460800000 in words is "two trillion, four hundred eighty-one billion, four hundred sixty million, eight hundred thousand".