2941398061056 has 832 divisors, whose sum is σ = 10769741731840. Its totient is φ = 772533780480.

The previous prime is 2941398061031. The next prime is 2941398061057. The reversal of 2941398061056 is 6501608931492.

2941398061056 is a `hidden beast` number, since 2 + 9 + 4 + 13 + 9 + 8 + 0 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2941398060993 and 2941398061011.

It is not an unprimeable number, because it can be changed into a prime (2941398061057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3331141191 + ... + 3331142073.

It is an arithmetic number, because the mean of its divisors is an integer number (12944401120).

Almost surely, 2^{2941398061056} is an apocalyptic number.

2941398061056 is a gapful number since it is divisible by the number (26) 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 2941398061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384870865920).

2941398061056 is an abundant number, since it is smaller than the sum of its proper divisors (7828343670784).

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

2941398061056 is a wasteful number, since it uses less digits than its factorization.

2941398061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2941398061056 in words is "two trillion, nine hundred forty-one billion, three hundred ninety-eight million, sixty-one thousand, fifty-six".