2675510200 has 96 divisors (see below), whose sum is σ = 6853824720. Its totient is φ = 963200000.

The previous prime is 2675510191. The next prime is 2675510209. The reversal of 2675510200 is 20155762.

It is an interprime number because it is at equal distance from previous prime (2675510191) and next prime (2675510209).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2675510209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216180 + ... + 228220.

Almost surely, 2^2675510200 is an apocalyptic number.

2675510200 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 2675510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426912360).

2675510200 is an abundant number, since it is smaller than the sum of its proper divisors (4178314520).

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

2675510200 is a wasteful number, since it uses less digits than its factorization.

2675510200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2675510200 is about 51725.3342183499. The cubic root of 2675510200 is about 1388.2537981252.

Adding to 2675510200 its reverse (20155762), we get a palindrome (2695665962).

The spelling of 2675510200 in words is "two billion, six hundred seventy-five million, five hundred ten thousand, two hundred".