2491879347360 has 1728 divisors, whose sum is σ = 10529037372672. Its totient is φ = 551021543424.

The previous prime is 2491879347263. The next prime is 2491879347401. The reversal of 2491879347360 is 637439781942.

2491879347360 is a `hidden beast` number, since 2 + 4 + 9 + 18 + 7 + 93 + 473 + 60 = 666.

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 287 ways as a sum of consecutive naturals, for example, 5335929847 + ... + 5335930313.

It is an arithmetic number, because the mean of its divisors is an integer number (6093192924).

Almost surely, 2^{2491879347360} is an apocalyptic number.

2491879347360 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 2491879347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264518686336).

2491879347360 is an abundant number, since it is smaller than the sum of its proper divisors (8037158025312).

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

2491879347360 is a wasteful number, since it uses less digits than its factorization.

2491879347360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 2491879347360 in words is "two trillion, four hundred ninety-one billion, eight hundred seventy-nine million, three hundred forty-seven thousand, three hundred sixty".