2686158683040 has 576 divisors, whose sum is σ = 10100344222080. Its totient is φ = 597969469440.

The previous prime is 2686158683017. The next prime is 2686158683051. The reversal of 2686158683040 is 403868516862.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 648985291 + ... + 648989429.

It is an arithmetic number, because the mean of its divisors is an integer number (17535319830).

Almost surely, 2^{2686158683040} is an apocalyptic number.

2686158683040 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 2686158683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050172111040).

2686158683040 is an abundant number, since it is smaller than the sum of its proper divisors (7414185539040).

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

2686158683040 is a wasteful number, since it uses less digits than its factorization.

2686158683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 2686158683040 in words is "two trillion, six hundred eighty-six billion, one hundred fifty-eight million, six hundred eighty-three thousand, forty".