2481500349792 has 288 divisors, whose sum is σ = 7542422334720. Its totient is φ = 771607710720.

The previous prime is 2481500349781. The next prime is 2481500349841. The reversal of 2481500349792 is 2979430051842.

2481500349792 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 500 + 3 + 49 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2481500349792³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340721383 + ... + 340728665.

It is an arithmetic number, because the mean of its divisors is an integer number (26188966440).

Almost surely, 2^{2481500349792} 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 2481500349792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771211167360).

2481500349792 is an abundant number, since it is smaller than the sum of its proper divisors (5060921984928).

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

2481500349792 is a wasteful number, since it uses less digits than its factorization.

2481500349792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2481500349792 in words is "two trillion, four hundred eighty-one billion, five hundred million, three hundred forty-nine thousand, seven hundred ninety-two".