2941368768 has 224 divisors, whose sum is σ = 9394667520. Its totient is φ = 897039360.

The previous prime is 2941368751. The next prime is 2941368769. The reversal of 2941368768 is 8678631492.

2941368768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2941368769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2852413 + ... + 2853443.

It is an arithmetic number, because the mean of its divisors is an integer number (41940480).

Almost surely, 2^2941368768 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 2941368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697333760).

2941368768 is an abundant number, since it is smaller than the sum of its proper divisors (6453298752).

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

2941368768 is a wasteful number, since it uses less digits than its factorization.

2941368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1176 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2941368768 is about 54234.3873202233. The cubic root of 2941368768 is about 1432.7920360715.

The spelling of 2941368768 in words is "two billion, nine hundred forty-one million, three hundred sixty-eight thousand, seven hundred sixty-eight".