2138595264 has 448 divisors, whose sum is σ = 7264481280. Its totient is φ = 612126720.

The previous prime is 2138595247. The next prime is 2138595271. The reversal of 2138595264 is 4625958312.

2138595264 is a `hidden beast` number, since 2 + 1 + 38 + 595 + 26 + 4 = 666.

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 63 ways as a sum of consecutive naturals, for example, 25766167 + ... + 25766249.

It is an arithmetic number, because the mean of its divisors is an integer number (16215360).

Almost surely, 2^2138595264 is an apocalyptic number.

2138595264 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 2138595264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632240640).

2138595264 is an abundant number, since it is smaller than the sum of its proper divisors (5125886016).

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

2138595264 is a wasteful number, since it uses less digits than its factorization.

2138595264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2138595264 is about 46244.9485241361. The cubic root of 2138595264 is about 1288.3767142617.

The spelling of 2138595264 in words is "two billion, one hundred thirty-eight million, five hundred ninety-five thousand, two hundred sixty-four".