2891968539768 has 384 divisors, whose sum is σ = 9802301184000. Its totient is φ = 748305250560.

The previous prime is 2891968539767. The next prime is 2891968539781. The reversal of 2891968539768 is 8679358691982.

2891968539768 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 9 + 6 + 8 + 539 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891968539767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2838045163 + ... + 2838046181.

It is an arithmetic number, because the mean of its divisors is an integer number (25526826000).

Almost surely, 2^{2891968539768} is an apocalyptic number.

2891968539768 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 2891968539768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901150592000).

2891968539768 is an abundant number, since it is smaller than the sum of its proper divisors (6910332644232).

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

2891968539768 is a wasteful number, since it uses less digits than its factorization.

2891968539768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2488 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 81.

The spelling of 2891968539768 in words is "two trillion, eight hundred ninety-one billion, nine hundred sixty-eight million, five hundred thirty-nine thousand, seven hundred sixty-eight".