2461255289856 has 1056 divisors, whose sum is σ = 8426992654080. Its totient is φ = 710664192000.

The previous prime is 2461255289839. The next prime is 2461255289939. The reversal of 2461255289856 is 6589825521642.

2461255289856 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 25 + 528 + 9 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 2461255289793 and 2461255289802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8017118055 + ... + 8017118361.

It is an arithmetic number, because the mean of its divisors is an integer number (7980106680).

Almost surely, 2^{2461255289856} 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 2461255289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213496327040).

2461255289856 is an abundant number, since it is smaller than the sum of its proper divisors (5965737364224).

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

2461255289856 is a wasteful number, since it uses less digits than its factorization.

2461255289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 453 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 2461255289856 in words is "two trillion, four hundred sixty-one billion, two hundred fifty-five million, two hundred eighty-nine thousand, eight hundred fifty-six".