2482141003776 has 576 divisors, whose sum is σ = 8515746812160. Its totient is φ = 708609835008.

The previous prime is 2482141003759. The next prime is 2482141003789. The reversal of 2482141003776 is 6773001412842.

2482141003776 is a `hidden beast` number, since 248 + 21 + 4 + 10 + 0 + 377 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2482141003776² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006580630 + ... + 2006581866.

It is an arithmetic number, because the mean of its divisors is an integer number (14784282660).

Almost surely, 2^{2482141003776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2482141003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257873406080).

2482141003776 is an abundant number, since it is smaller than the sum of its proper divisors (6033605808384).

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

2482141003776 is an frugal number, since it uses more digits than its factorization.

2482141003776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2482141003776 in words is "two trillion, four hundred eighty-two billion, one hundred forty-one million, three thousand, seven hundred seventy-six".