2164457288 has 64 divisors (see below), whose sum is σ = 4758082560. Its totient is φ = 903744576.

The previous prime is 2164457261. The next prime is 2164457299. The reversal of 2164457288 is 8827544612.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210331 + ... + 1212117.

It is an arithmetic number, because the mean of its divisors is an integer number (74345040).

Almost surely, 2^2164457288 is an apocalyptic number.

2164457288 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 2164457288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379041280).

2164457288 is an abundant number, since it is smaller than the sum of its proper divisors (2593625272).

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

2164457288 is a wasteful number, since it uses less digits than its factorization.

2164457288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its digits is 860160, while the sum is 47.

The square root of 2164457288 is about 46523.7282254980. The cubic root of 2164457288 is about 1293.5493638380.

The spelling of 2164457288 in words is "two billion, one hundred sixty-four million, four hundred fifty-seven thousand, two hundred eighty-eight".