2971347684096 has 288 divisors, whose sum is σ = 9180966187008. Its totient is φ = 843133419520.

The previous prime is 2971347684091. The next prime is 2971347684133. The reversal of 2971347684096 is 6904867431792.

It is a super-2 number, since 2×2971347684096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2971347684091) 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 31 ways as a sum of consecutive naturals, for example, 28239841 + ... + 28344863.

It is an arithmetic number, because the mean of its divisors is an integer number (31878354816).

Almost surely, 2^{2971347684096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2971347684096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590483093504).

2971347684096 is an abundant number, since it is smaller than the sum of its proper divisors (6209618502912).

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

2971347684096 is a wasteful number, since it uses less digits than its factorization.

2971347684096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105267 (or 105253 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 2971347684096 in words is "two trillion, nine hundred seventy-one billion, three hundred forty-seven million, six hundred eighty-four thousand, ninety-six".