2681920349667 has 64 divisors (see below), whose sum is σ = 4354896000000. Its totient is φ = 1621124803584.

The previous prime is 2681920349617. The next prime is 2681920349699. The reversal of 2681920349667 is 7669430291862.

2681920349667 is a `hidden beast` number, since 2 + 6 + 81 + 9 + 2 + 0 + 3 + 496 + 67 = 666.

It is not a de Polignac number, because 2681920349667 - 2¹⁹ = 2681919825379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2681920349617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25813698 + ... + 25917384.

It is an arithmetic number, because the mean of its divisors is an integer number (68045250000).

Almost surely, 2^{2681920349667} is an apocalyptic number.

2681920349667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2681920349667 is a deficient number, since it is larger than the sum of its proper divisors (1672975650333).

2681920349667 is a wasteful number, since it uses less digits than its factorization.

2681920349667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105017 (or 105011 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 2681920349667 in words is "two trillion, six hundred eighty-one billion, nine hundred twenty million, three hundred forty-nine thousand, six hundred sixty-seven".