2144193984 has 224 divisors, whose sum is σ = 6486144000. Its totient is φ = 694407168.

The previous prime is 2144193977. The next prime is 2144193991. The reversal of 2144193984 is 4893914412.

2144193984 is a `hidden beast` number, since 214 + 41 + 9 + 398 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2144193977) and next prime (2144193991).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15425787 + ... + 15425925.

It is an arithmetic number, because the mean of its divisors is an integer number (28956000).

Almost surely, 2^2144193984 is an apocalyptic number.

2144193984 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 2144193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243072000).

2144193984 is an abundant number, since it is smaller than the sum of its proper divisors (4341950016).

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

2144193984 is a wasteful number, since it uses less digits than its factorization.

2144193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

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

The square root of 2144193984 is about 46305.4422719403. The cubic root of 2144193984 is about 1289.5000334023.

The spelling of 2144193984 in words is "two billion, one hundred forty-four million, one hundred ninety-three thousand, nine hundred eighty-four".