2680707901536 has 144 divisors (see below), whose sum is σ = 8714892146688. Its totient is φ = 765688723200.

The previous prime is 2680707901523. The next prime is 2680707901549. The reversal of 2680707901536 is 6351097070862.

2680707901536 is a `hidden beast` number, since 26 + 80 + 7 + 0 + 7 + 9 + 0 + 1 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (2680707901523) and next prime (2680707901549).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6640191 + ... + 7032321.

It is an arithmetic number, because the mean of its divisors is an integer number (60520084352).

Almost surely, 2^{2680707901536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680707901536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357446073344).

2680707901536 is an abundant number, since it is smaller than the sum of its proper divisors (6034184245152).

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

2680707901536 is a wasteful number, since it uses less digits than its factorization.

2680707901536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395545 (or 395534 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2680707901536 in words is "two trillion, six hundred eighty billion, seven hundred seven million, nine hundred one thousand, five hundred thirty-six".