2138837752 has 64 divisors (see below), whose sum is σ = 4280400000. Its totient is φ = 999091584.

The previous prime is 2138837747. The next prime is 2138837761. The reversal of 2138837752 is 2577388312.

It is a super-3 number, since 3×2138837752³ (a number of 29 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4285999 + ... + 4286497.

It is an arithmetic number, because the mean of its divisors is an integer number (66881250).

Almost surely, 2^2138837752 is an apocalyptic number.

It is an amenable number.

2138837752 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2138837752 is a wasteful number, since it uses less digits than its factorization.

2138837752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 2138837752 is about 46247.5702280671. The cubic root of 2138837752 is about 1288.4254072972.

The spelling of 2138837752 in words is "two billion, one hundred thirty-eight million, eight hundred thirty-seven thousand, seven hundred fifty-two".