2551181200 has 30 divisors (see below), whose sum is σ = 6129213794. Its totient is φ = 1020472320.

The previous prime is 2551181161. The next prime is 2551181203. The reversal of 2551181200 is 21811552.

2551181200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 76317696 + 2474863504 = 8736^2 + 49748^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2551181203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3188577 + ... + 3189376.

Almost surely, 2^2551181200 is an apocalyptic number.

2551181200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551181200 is an abundant number, since it is smaller than the sum of its proper divisors (3578032594).

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

2551181200 is a wasteful number, since it uses less digits than its factorization.

2551181200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377971 (or 6377960 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 2551181200 is about 50509.2189605026. The cubic root of 2551181200 is about 1366.4081234766.

Adding to 2551181200 its reverse (21811552), we get a palindrome (2572992752).

The spelling of 2551181200 in words is "two billion, five hundred fifty-one million, one hundred eighty-one thousand, two hundred".