2106731696256 has 768 divisors, whose sum is σ = 7153342709760. Its totient is φ = 588487680000.

The previous prime is 2106731696239. The next prime is 2106731696281. The reversal of 2106731696256 is 6526961376012.

2106731696256 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 7 + 3 + 1 + 6 + 9 + 625 + 6 = 666.

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, 3894143346 + ... + 3894143886.

It is an arithmetic number, because the mean of its divisors is an integer number (9314248320).

Almost surely, 2^{2106731696256} 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 2106731696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576671354880).

2106731696256 is an abundant number, since it is smaller than the sum of its proper divisors (5046611013504).

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

2106731696256 is a wasteful number, since it uses less digits than its factorization.

2106731696256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2106731696256 in words is "two trillion, one hundred six billion, seven hundred thirty-one million, six hundred ninety-six thousand, two hundred fifty-six".