2941275427168 has 144 divisors (see below), whose sum is σ = 6633105307920. Its totient is φ = 1275271022592.

The previous prime is 2941275427127. The next prime is 2941275427243. The reversal of 2941275427168 is 8617245721492.

It is a super-2 number, since 2×2941275427168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12831063 + ... + 13058281.

It is an arithmetic number, because the mean of its divisors is an integer number (46063231305).

Almost surely, 2^{2941275427168} 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 2941275427168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316552653960).

2941275427168 is an abundant number, since it is smaller than the sum of its proper divisors (3691829880752).

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

2941275427168 is a wasteful number, since it uses less digits than its factorization.

2941275427168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227337 (or 227300 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 58.

The spelling of 2941275427168 in words is "two trillion, nine hundred forty-one billion, two hundred seventy-five million, four hundred twenty-seven thousand, one hundred sixty-eight".