2558841461760 has 352 divisors, whose sum is σ = 8654426210304. Its totient is φ = 644235264000.

The previous prime is 2558841461689. The next prime is 2558841461773. The reversal of 2558841461760 is 671641488552.

It is a self number, because there is not a number n which added to its sum of digits gives 2558841461760.

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 31 ways as a sum of consecutive naturals, for example, 19457025 + ... + 19588095.

Almost surely, 2^{2558841461760} is an apocalyptic number.

2558841461760 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 2558841461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327213105152).

2558841461760 is an abundant number, since it is smaller than the sum of its proper divisors (6095584748544).

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

2558841461760 is a wasteful number, since it uses less digits than its factorization.

2558841461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131171 (or 131153 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 2558841461760 in words is "two trillion, five hundred fifty-eight billion, eight hundred forty-one million, four hundred sixty-one thousand, seven hundred sixty".