2928970818081 has 192 divisors, whose sum is σ = 5390079552000. Its totient is φ = 1488736972800.

The previous prime is 2928970818079. The next prime is 2928970818089. The reversal of 2928970818081 is 1808180798292.

2928970818081 is a `hidden beast` number, since 292 + 8 + 97 + 0 + 8 + 180 + 81 = 666.

It is not a de Polignac number, because 2928970818081 - 2¹ = 2928970818079 is a prime.

It is a super-2 number, since 2×2928970818081² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2928970818089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2217236901 + ... + 2217238221.

It is an arithmetic number, because the mean of its divisors is an integer number (28073331000).

Almost surely, 2^{2928970818081} is an apocalyptic number.

2928970818081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2928970818081 is a deficient number, since it is larger than the sum of its proper divisors (2461108733919).

2928970818081 is a wasteful number, since it uses less digits than its factorization.

2928970818081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 2928970818081 in words is "two trillion, nine hundred twenty-eight billion, nine hundred seventy million, eight hundred eighteen thousand, eighty-one".