2706660493968 has 40 divisors (see below), whose sum is σ = 7360217135200. Its totient is φ = 854734892544.

The previous prime is 2706660493963. The next prime is 2706660493973. The reversal of 2706660493968 is 8693940666072.

It is an interprime number because it is at equal distance from previous prime (2706660493963) and next prime (2706660493973).

It is a super-2 number, since 2×2706660493968² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2706660493899 and 2706660493908.

It is not an unprimeable number, because it can be changed into a prime (2706660493963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1483913833 + ... + 1483915656.

It is an arithmetic number, because the mean of its divisors is an integer number (184005428380).

Almost surely, 2^{2706660493968} is an apocalyptic number.

It is an amenable number.

2706660493968 is an abundant number, since it is smaller than the sum of its proper divisors (4653556641232).

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

2706660493968 is a wasteful number, since it uses less digits than its factorization.

2706660493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967829519 (or 2967829513 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 2706660493968 in words is "two trillion, seven hundred six billion, six hundred sixty million, four hundred ninety-three thousand, nine hundred sixty-eight".