2144827008 has 384 divisors, whose sum is σ = 7001280000. Its totient is φ = 627056640.

The previous prime is 2144827007. The next prime is 2144827019. The reversal of 2144827008 is 8007284412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2144827007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19677258 + ... + 19677366.

It is an arithmetic number, because the mean of its divisors is an integer number (18232500).

Almost surely, 2^2144827008 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 2144827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500640000).

2144827008 is an abundant number, since it is smaller than the sum of its proper divisors (4856452992).

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

2144827008 is a wasteful number, since it uses less digits than its factorization.

2144827008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2144827008 is about 46312.2770763866. The cubic root of 2144827008 is about 1289.6269193337.

The spelling of 2144827008 in words is "two billion, one hundred forty-four million, eight hundred twenty-seven thousand, eight".