2164282848 has 192 divisors, whose sum is σ = 7769502720. Its totient is φ = 570779136.

The previous prime is 2164282829. The next prime is 2164282859. The reversal of 2164282848 is 8482824612.

2164282848 is a `hidden beast` number, since 216 + 428 + 2 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×2164282848² = 9368240492293982208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64861 + ... + 92387.

It is an arithmetic number, because the mean of its divisors is an integer number (40466160).

Almost surely, 2^2164282848 is an apocalyptic number.

2164282848 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 2164282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884751360).

2164282848 is an abundant number, since it is smaller than the sum of its proper divisors (5605219872).

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

2164282848 is a wasteful number, since it uses less digits than its factorization.

2164282848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27566 (or 27552 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 2164282848 is about 46521.8534454508. The cubic root of 2164282848 is about 1293.5146125843.

The spelling of 2164282848 in words is "two billion, one hundred sixty-four million, two hundred eighty-two thousand, eight hundred forty-eight".