2681607328752 has 160 divisors (see below), whose sum is σ = 7674708787200. Its totient is φ = 800072328960.

The previous prime is 2681607328721. The next prime is 2681607328753. The reversal of 2681607328752 is 2578237061862.

It is a junction number, because it is equal to n+sod(n) for n = 2681607328692 and 2681607328701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681607328753) by changing a digit.

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, 9063249 + ... + 9354447.

It is an arithmetic number, because the mean of its divisors is an integer number (47966929920).

Almost surely, 2^{2681607328752} is an apocalyptic number.

2681607328752 is a gapful number since it is divisible by the number (22) 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 2681607328752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837354393600).

2681607328752 is an abundant number, since it is smaller than the sum of its proper divisors (4993101458448).

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

2681607328752 is a wasteful number, since it uses less digits than its factorization.

2681607328752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291491 (or 291485 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 2681607328752 in words is "two trillion, six hundred eighty-one billion, six hundred seven million, three hundred twenty-eight thousand, seven hundred fifty-two".