2560413200 has 30 divisors (see below), whose sum is σ = 6151393674. Its totient is φ = 1024165120.

The previous prime is 2560413187. The next prime is 2560413203. The reversal of 2560413200 is 23140652.

It can be written as a sum of positive squares in 3 ways, for example, as 524959744 + 2035453456 = 22912^2 + 45116^2 .

It is not an unprimeable number, because it can be changed into a prime (2560413203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3200117 + ... + 3200916.

Almost surely, 2^2560413200 is an apocalyptic number.

2560413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560413200 is an abundant number, since it is smaller than the sum of its proper divisors (3590980474).

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

2560413200 is a wasteful number, since it uses less digits than its factorization.

2560413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401051 (or 6401040 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2560413200 is about 50600.5256889689. The cubic root of 2560413200 is about 1368.0543535966.

Adding to 2560413200 its reverse (23140652), we get a palindrome (2583553852).

The spelling of 2560413200 in words is "two billion, five hundred sixty million, four hundred thirteen thousand, two hundred".