2681343751680 has 800 divisors, whose sum is σ = 11093234407200. Its totient is φ = 611777249280.

The previous prime is 2681343751651. The next prime is 2681343751699. The reversal of 2681343751680 is 861573431862.

2681343751680 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 3 + 43 + 7 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38741746 + ... + 38810894.

It is an arithmetic number, because the mean of its divisors is an integer number (13866543009).

Almost surely, 2^{2681343751680} is an apocalyptic number.

2681343751680 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 2681343751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5546617203600).

2681343751680 is an abundant number, since it is smaller than the sum of its proper divisors (8411890655520).

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

2681343751680 is a wasteful number, since it uses less digits than its factorization.

2681343751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69212 (or 69187 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2681343751680 in words is "two trillion, six hundred eighty-one billion, three hundred forty-three million, seven hundred fifty-one thousand, six hundred eighty".