2138668320 has 48 divisors (see below), whose sum is σ = 6736806720. Its totient is φ = 570311424.

The previous prime is 2138668297. The next prime is 2138668321. The reversal of 2138668320 is 238668312.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2138668321) 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 7 ways as a sum of consecutive naturals, for example, 2227300 + ... + 2228259.

It is an arithmetic number, because the mean of its divisors is an integer number (140350140).

Almost surely, 2^2138668320 is an apocalyptic number.

2138668320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138668320 is an abundant number, since it is smaller than the sum of its proper divisors (4598138400).

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

2138668320 is a wasteful number, since it uses less digits than its factorization.

2138668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455577 (or 4455569 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2138668320 is about 46245.7383982568. The cubic root of 2138668320 is about 1288.3913847292.

The spelling of 2138668320 in words is "two billion, one hundred thirty-eight million, six hundred sixty-eight thousand, three hundred twenty".