2675623200 has 144 divisors (see below), whose sum is σ = 9221597280. Its totient is φ = 671518720.

The previous prime is 2675623193. The next prime is 2675623213. The reversal of 2675623200 is 23265762.

It is a happy number.

2675623200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 8011 + ... + 73589.

It is an arithmetic number, because the mean of its divisors is an integer number (64038870).

Almost surely, 2^2675623200 is an apocalyptic number.

2675623200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675623200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610798640).

2675623200 is an abundant number, since it is smaller than the sum of its proper divisors (6545974080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2675623200 is a wasteful number, since it uses less digits than its factorization.

2675623200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65619 (or 65606 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2675623200 is about 51726.4265148870. The cubic root of 2675623200 is about 1388.2733421198.

Adding to 2675623200 its reverse (23265762), we get a palindrome (2698888962).

The spelling of 2675623200 in words is "two billion, six hundred seventy-five million, six hundred twenty-three thousand, two hundred".