2864640875625 has 45 divisors (see below), whose sum is σ = 5170842254721. Its totient is φ = 1527740766000.

The previous prime is 2864640875597. The next prime is 2864640875633. The reversal of 2864640875625 is 5265780464682.

The square root of 2864640875625 is 1692525.

It is a perfect power (a square), and thus also a powerful number.

2864640875625 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 64 + 0 + 8 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224587844649 + 2640053030976 = 473907^2 + 1624824^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2864640875625 - 2³⁷ = 2727201922153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 126928092 + ... + 126950658.

Almost surely, 2^{2864640875625} is an apocalyptic number.

2864640875625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2864640875625 is the 1692525-th square number.

2864640875625 is the 846263-rd centered octagonal number.

It is an amenable number.

2864640875625 is a deficient number, since it is larger than the sum of its proper divisors (2306201379096).

2864640875625 is an frugal number, since it uses more digits than its factorization.

2864640875625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45160 (or 22575 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 2864640875625 in words is "two trillion, eight hundred sixty-four billion, six hundred forty million, eight hundred seventy-five thousand, six hundred twenty-five".