2551205130 has 128 divisors (see below), whose sum is σ = 6694576128. Its totient is φ = 619610112.

The previous prime is 2551205077. The next prime is 2551205141. The reversal of 2551205130 is 315021552.

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 2551205130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6660919 + ... + 6661301.

It is an arithmetic number, because the mean of its divisors is an integer number (52301376).

Almost surely, 2^2551205130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551205130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347288064).

2551205130 is an abundant number, since it is smaller than the sum of its proper divisors (4143370998).

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

2551205130 is a wasteful number, since it uses less digits than its factorization.

2551205130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2551205130 is about 50509.4558473955. The cubic root of 2551205130 is about 1366.4123957517.

Adding to 2551205130 its reverse (315021552), we get a palindrome (2866226682).

The spelling of 2551205130 in words is "two billion, five hundred fifty-one million, two hundred five thousand, one hundred thirty".