2667830625 has 90 divisors (see below), whose sum is σ = 4937099310. Its totient is φ = 1387584000.

The previous prime is 2667830623. The next prime is 2667830629. The reversal of 2667830625 is 5260387662.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 2667515904 + 314721 = 51648^2 + 561^2 .

It is not a de Polignac number, because 2667830625 - 2¹ = 2667830623 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2667830623) 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 89 ways as a sum of consecutive naturals, for example, 29975581 + ... + 29975669.

It is an arithmetic number, because the mean of its divisors is an integer number (54856659).

Almost surely, 2^2667830625 is an apocalyptic number.

2667830625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2667830625 is a deficient number, since it is larger than the sum of its proper divisors (2269268685).

2667830625 is an frugal number, since it uses more digits than its factorization.

2667830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2667830625 is about 51651.0466980099. The cubic root of 2667830625 is about 1386.9242802615.

The spelling of 2667830625 in words is "two billion, six hundred sixty-seven million, eight hundred thirty thousand, six hundred twenty-five".