2891820768 has 192 divisors, whose sum is σ = 8328096000. Its totient is φ = 875077632.

The previous prime is 2891820739. The next prime is 2891820769. The reversal of 2891820768 is 8670281982.

It is a happy number.

It is a super-2 number, since 2×2891820768² = 16725254708472219648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2891820768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891820769) 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 31 ways as a sum of consecutive naturals, for example, 5794983 + ... + 5795481.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 2^2891820768 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 2891820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164048000).

2891820768 is an abundant number, since it is smaller than the sum of its proper divisors (5436275232).

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

2891820768 is a wasteful number, since it uses less digits than its factorization.

2891820768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 2891820768 is about 53775.6521857243. The cubic root of 2891820768 is about 1424.7012022332.

The spelling of 2891820768 in words is "two billion, eight hundred ninety-one million, eight hundred twenty thousand, seven hundred sixty-eight".