2671630200 has 144 divisors (see below), whose sum is σ = 8987222400. Its totient is φ = 711244800.

The previous prime is 2671630097. The next prime is 2671630207. The reversal of 2671630200 is 20361762.

It is a happy number.

2671630200 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 630 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671630207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1815465 + ... + 1816935.

Almost surely, 2^2671630200 is an apocalyptic number.

2671630200 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 2671630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493611200).

2671630200 is an abundant number, since it is smaller than the sum of its proper divisors (6315592200).

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

2671630200 is a wasteful number, since it uses less digits than its factorization.

2671630200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2671630200 is about 51687.8148116169. The cubic root of 2671630200 is about 1387.5823958860.

Adding to 2671630200 its reverse (20361762), we get a palindrome (2691991962).

The spelling of 2671630200 in words is "two billion, six hundred seventy-one million, six hundred thirty thousand, two hundred".