2661343200 has 324 divisors, whose sum is σ = 9976861440. Its totient is φ = 667422720.

The previous prime is 2661343189. The next prime is 2661343213. The reversal of 2661343200 is 23431662.

2661343200 is a `hidden beast` number, since 2 + 6 + 613 + 43 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 2080161 + ... + 2081439.

Almost surely, 2^2661343200 is an apocalyptic number.

2661343200 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 2661343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988430720).

2661343200 is an abundant number, since it is smaller than the sum of its proper divisors (7315518240).

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

2661343200 is a wasteful number, since it uses less digits than its factorization.

2661343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2661343200 is about 51588.2079549193. The cubic root of 2661343200 is about 1385.7991625685.

Adding to 2661343200 its reverse (23431662), we get a palindrome (2684774862).

The spelling of 2661343200 in words is "two billion, six hundred sixty-one million, three hundred forty-three thousand, two hundred".