2731675970016 has 432 divisors, whose sum is σ = 9356472019440. Its totient is φ = 752889876480.

The previous prime is 2731675969999. The next prime is 2731675970047. The reversal of 2731675970016 is 6100795761372.

2731675970016 is a `hidden beast` number, since 2 + 7 + 31 + 6 + 7 + 597 + 0 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 606094035 + ... + 606098541.

It is an arithmetic number, because the mean of its divisors is an integer number (21658500045).

Almost surely, 2^{2731675970016} 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 2731675970016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678236009720).

2731675970016 is an abundant number, since it is smaller than the sum of its proper divisors (6624796049424).

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

2731675970016 is a wasteful number, since it uses less digits than its factorization.

2731675970016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6029 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 2731675970016 in words is "two trillion, seven hundred thirty-one billion, six hundred seventy-five million, nine hundred seventy thousand, sixteen".