2566313200 has 180 divisors, whose sum is σ = 7177978080. Its totient is φ = 878028800.

The previous prime is 2566313179. The next prime is 2566313203. The reversal of 2566313200 is 23136652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566313203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 821241 + ... + 824359.

It is an arithmetic number, because the mean of its divisors is an integer number (39877656).

Almost surely, 2^2566313200 is an apocalyptic number.

2566313200 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 2566313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588989040).

2566313200 is an abundant number, since it is smaller than the sum of its proper divisors (4611664880).

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

2566313200 is a wasteful number, since it uses less digits than its factorization.

2566313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 2566313200 is about 50658.7919319046. The cubic root of 2566313200 is about 1369.1043571447.

Adding to 2566313200 its reverse (23136652), we get a palindrome (2589449852).

The spelling of 2566313200 in words is "two billion, five hundred sixty-six million, three hundred thirteen thousand, two hundred".