2166891264 has 252 divisors, whose sum is σ = 6876535176. Its totient is φ = 678813696.

The previous prime is 2166891241. The next prime is 2166891329. The reversal of 2166891264 is 4621986612.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3172267 + ... + 3172949.

It is an arithmetic number, because the mean of its divisors is an integer number (27287838).

Almost surely, 2^2166891264 is an apocalyptic number.

2166891264 is a gapful number since it is divisible by the number (24) 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 2166891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438267588).

2166891264 is an abundant number, since it is smaller than the sum of its proper divisors (4709643912).

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

2166891264 is an frugal number, since it uses more digits than its factorization.

2166891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 705 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2166891264 is about 46549.8793124107. The cubic root of 2166891264 is about 1294.0340563425.

The spelling of 2166891264 in words is "two billion, one hundred sixty-six million, eight hundred ninety-one thousand, two hundred sixty-four".