2138765472 has 72 divisors (see below), whose sum is σ = 6307400736. Its totient is φ = 712919232.

The previous prime is 2138765467. The next prime is 2138765477. The reversal of 2138765472 is 2745678312.

2138765472 is a `hidden beast` number, since 2 + 1 + 38 + 76 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2138765467) and next prime (2138765477).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2138765477) 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 11 ways as a sum of consecutive naturals, for example, 129748 + ... + 145299.

It is an arithmetic number, because the mean of its divisors is an integer number (87602788).

Almost surely, 2^2138765472 is an apocalyptic number.

It is an amenable number.

2138765472 is an abundant number, since it is smaller than the sum of its proper divisors (4168635264).

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

2138765472 is an equidigital number, since it uses as much as digits as its factorization.

2138765472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275072 (or 275052 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2138765472 is about 46246.7887750058. The cubic root of 2138765472 is about 1288.4108934275.

The spelling of 2138765472 in words is "two billion, one hundred thirty-eight million, seven hundred sixty-five thousand, four hundred seventy-two".