2688645625 has 20 divisors (see below), whose sum is σ = 3557376900. Its totient is φ = 2024384000.

The previous prime is 2688645607. The next prime is 2688645629. The reversal of 2688645625 is 5265468862.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1192735296 + 1495910329 = 34536^2 + 38677^2 .

It is not a de Polignac number, because 2688645625 - 2¹⁷ = 2688514553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2688645629) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115900 + ... + 137149.

It is an arithmetic number, because the mean of its divisors is an integer number (177868845).

Almost surely, 2^2688645625 is an apocalyptic number.

2688645625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2688645625 is a deficient number, since it is larger than the sum of its proper divisors (868731275).

2688645625 is an equidigital number, since it uses as much as digits as its factorization.

2688645625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253086 (or 253071 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The square root of 2688645625 is about 51852.1515947024. The cubic root of 2688645625 is about 1390.5219689689.

The spelling of 2688645625 in words is "two billion, six hundred eighty-eight million, six hundred forty-five thousand, six hundred twenty-five".