2551434200 has 96 divisors (see below), whose sum is σ = 6856034400. Its totient is φ = 864906240.

The previous prime is 2551434187. The next prime is 2551434241. The reversal of 2551434200 is 24341552.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2551434200.

It is a congruent number.

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, 114362 + ... + 134838.

It is an arithmetic number, because the mean of its divisors is an integer number (71417025).

Almost surely, 2^2551434200 is an apocalyptic number.

2551434200 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 2551434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428017200).

2551434200 is an abundant number, since it is smaller than the sum of its proper divisors (4304600200).

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

2551434200 is a wasteful number, since it uses less digits than its factorization.

2551434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20589 (or 20580 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2551434200 is about 50511.7233917038. The cubic root of 2551434200 is about 1366.4532907672.

Adding to 2551434200 its reverse (24341552), we get a palindrome (2575775752).

The spelling of 2551434200 in words is "two billion, five hundred fifty-one million, four hundred thirty-four thousand, two hundred".