2138039072 has 24 divisors (see below), whose sum is σ = 4533054876. Its totient is φ = 986787072.

The previous prime is 2138039063. The next prime is 2138039089. The reversal of 2138039072 is 2709308312.

It can be written as a sum of positive squares in 2 ways, for example, as 2078995216 + 59043856 = 45596^2 + 7684^2 .

It is a super-2 number, since 2×2138039072² = 9142422146797242368, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 2569343 + ... + 2570174.

Almost surely, 2^2138039072 is an apocalyptic number.

It is an amenable number.

2138039072 is an abundant number, since it is smaller than the sum of its proper divisors (2395015804).

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

2138039072 is a wasteful number, since it uses less digits than its factorization.

2138039072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139540 (or 5139532 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2138039072 is about 46238.9345898021. The cubic root of 2138039072 is about 1288.2650136882.

The spelling of 2138039072 in words is "two billion, one hundred thirty-eight million, thirty-nine thousand, seventy-two".