2581061967560 has 64 divisors (see below), whose sum is σ = 5952078633600. Its totient is φ = 1006780110336.

The previous prime is 2581061967551. The next prime is 2581061967593. The reversal of 2581061967560 is 657691601852.

It is a junction number, because it is equal to n+sod(n) for n = 2581061967496 and 2581061967505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154820 + ... + 2277299.

It is an arithmetic number, because the mean of its divisors is an integer number (93001228650).

Almost surely, 2^{2581061967560} is an apocalyptic number.

2581061967560 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 2581061967560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976039316800).

2581061967560 is an abundant number, since it is smaller than the sum of its proper divisors (3371016666040).

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

2581061967560 is a wasteful number, since it uses less digits than its factorization.

2581061967560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432790 (or 2432786 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 56.

The spelling of 2581061967560 in words is "two trillion, five hundred eighty-one billion, sixty-one million, nine hundred sixty-seven thousand, five hundred sixty".