2642006730681 has 24 divisors (see below), whose sum is σ = 3852055658880. Its totient is φ = 1744820413056.

The previous prime is 2642006730653. The next prime is 2642006730683. The reversal of 2642006730681 is 1860376002462.

2642006730681 is a `hidden beast` number, since 2 + 6 + 4 + 200 + 67 + 306 + 81 = 666.

It is not a de Polignac number, because 2642006730681 - 2¹⁸ = 2642006468537 is a prime.

It is a super-3 number, since 3×2642006730681³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2642006730683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219660 + ... + 2602226.

It is an arithmetic number, because the mean of its divisors is an integer number (160502319120).

Almost surely, 2^{2642006730681} is an apocalyptic number.

It is an amenable number.

2642006730681 is a deficient number, since it is larger than the sum of its proper divisors (1210048928199).

2642006730681 is a wasteful number, since it uses less digits than its factorization.

2642006730681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384565 (or 1384562 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2642006730681 in words is "two trillion, six hundred forty-two billion, six million, seven hundred thirty thousand, six hundred eighty-one".