2891214816 has 144 divisors (see below), whose sum is σ = 9212724864. Its totient is φ = 790116096.

The previous prime is 2891214811. The next prime is 2891214899. The reversal of 2891214816 is 6184121982.

2891214816 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 super-2 number, since 2×2891214816² = 16718246224515827712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891214811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94831 + ... + 121553.

It is an arithmetic number, because the mean of its divisors is an integer number (63977256).

Almost surely, 2^2891214816 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 2891214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606362432).

2891214816 is an abundant number, since it is smaller than the sum of its proper divisors (6321510048).

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

2891214816 is a wasteful number, since it uses less digits than its factorization.

2891214816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26773 (or 26758 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 2891214816 is about 53770.0178166234. The cubic root of 2891214816 is about 1424.6016846722.

The spelling of 2891214816 in words is "two billion, eight hundred ninety-one million, two hundred fourteen thousand, eight hundred sixteen".