2981673676801 has 16 divisors (see below), whose sum is σ = 3051235301200. Its totient is φ = 2912841907200.

The previous prime is 2981673676799. The next prime is 2981673676867. The reversal of 2981673676801 is 1086763761892.

It can be written as a sum of positive squares in 8 ways, for example, as 717849507600 + 2263824169201 = 847260^2 + 1504601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2981673676801 - 2¹ = 2981673676799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2981673676301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5452381 + ... + 5974261.

It is an arithmetic number, because the mean of its divisors is an integer number (190702206325).

Almost surely, 2^{2981673676801} is an apocalyptic number.

It is an amenable number.

2981673676801 is a deficient number, since it is larger than the sum of its proper divisors (69561624399).

2981673676801 is a wasteful number, since it uses less digits than its factorization.

2981673676801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522580.

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 2981673676801 in words is "two trillion, nine hundred eighty-one billion, six hundred seventy-three million, six hundred seventy-six thousand, eight hundred one".