2628671625 has 24 divisors (see below), whose sum is σ = 4738620744. Its totient is φ = 1401957600.

The previous prime is 2628671599. The next prime is 2628671651. The reversal of 2628671625 is 5261768262.

2628671625 is a `hidden beast` number, since 2 + 628 + 6 + 7 + 16 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2628671599) and next prime (2628671651).

It can be written as a sum of positive squares in 4 ways, for example, as 38675961 + 2589995664 = 6219^2 + 50892^2 .

It is not a de Polignac number, because 2628671625 - 2⁵ = 2628671593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167174 + ... + 1169423.

It is an arithmetic number, because the mean of its divisors is an integer number (197442531).

Almost surely, 2^2628671625 is an apocalyptic number.

2628671625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2628671625 is a deficient number, since it is larger than the sum of its proper divisors (2109949119).

2628671625 is a wasteful number, since it uses less digits than its factorization.

2628671625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336618 (or 2336605 counting only the distinct ones).

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

The square root of 2628671625 is about 51270.5727001367. The cubic root of 2628671625 is about 1380.1049463352.

The spelling of 2628671625 in words is "two billion, six hundred twenty-eight million, six hundred seventy-one thousand, six hundred twenty-five".