2461300064256 has 256 divisors, whose sum is σ = 7471417812480. Its totient is φ = 713413099520.

The previous prime is 2461300064239. The next prime is 2461300064263. The reversal of 2461300064256 is 6524600031642.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24821431 + ... + 24920393.

It is an arithmetic number, because the mean of its divisors is an integer number (29185225830).

Almost surely, 2^{2461300064256} 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 2461300064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735708906240).

2461300064256 is an abundant number, since it is smaller than the sum of its proper divisors (5010117748224).

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

2461300064256 is an equidigital number, since it uses as much as digits as its factorization.

2461300064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99030 (or 99002 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 2461300064256 its reverse (6524600031642), we get a palindrome (8985900095898).

The spelling of 2461300064256 in words is "two trillion, four hundred sixty-one billion, three hundred million, sixty-four thousand, two hundred fifty-six".