2941341096960 has 1056 divisors, whose sum is σ = 12194905881600. Its totient is φ = 640916914176.

The previous prime is 2941341096931. The next prime is 2941341096971. The reversal of 2941341096960 is 696901431492.

It is a happy number.

2941341096960 is a `hidden beast` number, since 2 + 9 + 413 + 4 + 109 + 69 + 60 = 666.

It is a super-2 number, since 2×2941341096960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2941341096897 and 2941341096906.

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 95 ways as a sum of consecutive naturals, for example, 3331076679 + ... + 3331077561.

Almost surely, 2^{2941341096960} is an apocalyptic number.

2941341096960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2941341096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097452940800).

2941341096960 is an abundant number, since it is smaller than the sum of its proper divisors (9253564784640).

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

2941341096960 is a wasteful number, since it uses less digits than its factorization.

2941341096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 2941341096960 in words is "two trillion, nine hundred forty-one billion, three hundred forty-one million, ninety-six thousand, nine hundred sixty".