2144893968 has 240 divisors, whose sum is σ = 7175540736. Its totient is φ = 585204480.

The previous prime is 2144893951. The next prime is 2144893979. The reversal of 2144893968 is 8693984412.

2144893968 is a `hidden beast` number, since 21 + 448 + 93 + 96 + 8 = 666.

It is a Cunningham number, because it is equal to 46313²-1.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2593171 + ... + 2593997.

Almost surely, 2^2144893968 is an apocalyptic number.

2144893968 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 2144893968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587770368).

2144893968 is an abundant number, since it is smaller than the sum of its proper divisors (5030646768).

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

2144893968 is a wasteful number, since it uses less digits than its factorization.

2144893968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2144893968 is about 46312.9999892039. Note that the first 4 decimals coincide. The cubic root of 2144893968 is about 1289.6403396111.

The spelling of 2144893968 in words is "two billion, one hundred forty-four million, eight hundred ninety-three thousand, nine hundred sixty-eight".