2888729466625 has 32 divisors (see below), whose sum is σ = 3617923559328. Its totient is φ = 2302790630400.

The previous prime is 2888729466607. The next prime is 2888729466643. The reversal of 2888729466625 is 5266649278882.

It is an interprime number because it is at equal distance from previous prime (2888729466607) and next prime (2888729466643).

It can be written as a sum of positive squares in 16 ways, for example, as 2765276319744 + 123453146881 = 1662912^2 + 351359^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2888729466625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 127262277 + ... + 127284973.

It is an arithmetic number, because the mean of its divisors is an integer number (113060111229).

Almost surely, 2^{2888729466625} is an apocalyptic number.

2888729466625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2888729466625 is a deficient number, since it is larger than the sum of its proper divisors (729194092703).

2888729466625 is a wasteful number, since it uses less digits than its factorization.

2888729466625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26278 (or 26268 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 73.

The spelling of 2888729466625 in words is "two trillion, eight hundred eighty-eight billion, seven hundred twenty-nine million, four hundred sixty-six thousand, six hundred twenty-five".