2148768384 has 96 divisors (see below), whose sum is σ = 6639588000. Its totient is φ = 613928448.

The previous prime is 2148768383. The next prime is 2148768389. The reversal of 2148768384 is 4838678412.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (2148768383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38284 + ... + 75915.

It is an arithmetic number, because the mean of its divisors is an integer number (69162375).

Almost surely, 2^2148768384 is an apocalyptic number.

2148768384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148768384 is an abundant number, since it is smaller than the sum of its proper divisors (4490819616).

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

2148768384 is a wasteful number, since it uses less digits than its factorization.

2148768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114230 (or 114211 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 2148768384 is about 46354.8097180864. The cubic root of 2148768384 is about 1290.4163838240.

The spelling of 2148768384 in words is "two billion, one hundred forty-eight million, seven hundred sixty-eight thousand, three hundred eighty-four".