2592864072 has 108 divisors (see below), whose sum is σ = 7480909995. Its totient is φ = 811143168.

The previous prime is 2592864061. The next prime is 2592864073. The reversal of 2592864072 is 2704682952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1804040676 + 788823396 = 42474^2 + 28086^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=36006.

It is not an unprimeable number, because it can be changed into a prime (2592864073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7345048 + ... + 7345400.

Almost surely, 2^2592864072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2592864072

2592864072 is an abundant number, since it is smaller than the sum of its proper divisors (4888045923).

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

2592864072 is a wasteful number, since it uses less digits than its factorization.

2592864072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2592864072 is about 50920.1735268057. The cubic root of 2592864072 is about 1373.8097153903.

It can be divided in two parts, 25928 and 64072, that added together give a square (90000 = 300²).

The spelling of 2592864072 in words is "two billion, five hundred ninety-two million, eight hundred sixty-four thousand, seventy-two".