2552887141760 has 256 divisors, whose sum is σ = 6495914880000. Its totient is φ = 957233012736.

The previous prime is 2552887141747. The next prime is 2552887141837. The reversal of 2552887141760 is 671417882552.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2552887141696 and 2552887141705.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1091442671 + ... + 1091445009.

It is an arithmetic number, because the mean of its divisors is an integer number (25374667500).

Almost surely, 2^{2552887141760} is an apocalyptic number.

2552887141760 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 2552887141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247957440000).

2552887141760 is an abundant number, since it is smaller than the sum of its proper divisors (3943027738240).

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

2552887141760 is a wasteful number, since it uses less digits than its factorization.

2552887141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 2552887141760 in words is "two trillion, five hundred fifty-two billion, eight hundred eighty-seven million, one hundred forty-one thousand, seven hundred sixty".