2941777045368 has 288 divisors, whose sum is σ = 9614845618560. Its totient is φ = 840203098560.

The previous prime is 2941777045357. The next prime is 2941777045399. The reversal of 2941777045368 is 8635407771492.

2941777045368 is a `hidden beast` number, since 2 + 9 + 4 + 177 + 7 + 0 + 453 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 469704205 + ... + 469710467.

It is an arithmetic number, because the mean of its divisors is an integer number (33384880620).

It is a 1-persistent number, because it is pandigital, but 2⋅2941777045368 = 5883554090736 is not.

Almost surely, 2^{2941777045368} is an apocalyptic number.

2941777045368 is a gapful number since it is divisible by the number (28) 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 2941777045368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807422809280).

2941777045368 is an abundant number, since it is smaller than the sum of its proper divisors (6673068573192).

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

2941777045368 is a wasteful number, since it uses less digits than its factorization.

2941777045368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 2941777045368 in words is "two trillion, nine hundred forty-one billion, seven hundred seventy-seven million, forty-five thousand, three hundred sixty-eight".