2891386368 has 400 divisors, whose sum is σ = 9649132416. Its totient is φ = 855982080.

The previous prime is 2891386363. The next prime is 2891386369. The reversal of 2891386368 is 8636831982.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891386361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16713130 + ... + 16713302.

Almost surely, 2^2891386368 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 2891386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824566208).

2891386368 is an abundant number, since it is smaller than the sum of its proper divisors (6757746048).

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

2891386368 is a wasteful number, since it uses less digits than its factorization.

2891386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2891386368 is about 53771.6130314128. The cubic root of 2891386368 is about 1424.6298606525.

The spelling of 2891386368 in words is "two billion, eight hundred ninety-one million, three hundred eighty-six thousand, three hundred sixty-eight".