2560201300 has 54 divisors (see below), whose sum is σ = 5807808398. Its totient is φ = 979535040.

The previous prime is 2560201289. The next prime is 2560201321. The reversal of 2560201300 is 31020652.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 405941904 + 2154259396 = 20148^2 + 46414^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28702 + ... + 77098.

Almost surely, 2^2560201300 is an apocalyptic number.

2560201300 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 2560201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903904199).

2560201300 is an abundant number, since it is smaller than the sum of its proper divisors (3247607098).

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

2560201300 is a wasteful number, since it uses less digits than its factorization.

2560201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48457 (or 48427 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2560201300 is about 50598.4317938807. The cubic root of 2560201300 is about 1368.0166124597.

Adding to 2560201300 its reverse (31020652), we get a palindrome (2591221952).

The spelling of 2560201300 in words is "two billion, five hundred sixty million, two hundred one thousand, three hundred".