2481741333504 has 132 divisors (see below), whose sum is σ = 7172820481840. Its totient is φ = 826456780800.

The previous prime is 2481741333481. The next prime is 2481741333517. The reversal of 2481741333504 is 4053331471842.

It is a happy number.

2481741333504 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 7 + 4 + 133 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2481741333504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9557907 + ... + 9814125.

Almost surely, 2^{2481741333504} is an apocalyptic number.

2481741333504 is a gapful number since it is divisible by the number (24) 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 2481741333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586410240920).

2481741333504 is an abundant number, since it is smaller than the sum of its proper divisors (4691079148336).

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

2481741333504 is a wasteful number, since it uses less digits than its factorization.

2481741333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257296 (or 257275 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2481741333504 in words is "two trillion, four hundred eighty-one billion, seven hundred forty-one million, three hundred thirty-three thousand, five hundred four".