2564230100 has 72 divisors (see below), whose sum is σ = 5852625408. Its totient is φ = 973814400.

The previous prime is 2564230091. The next prime is 2564230127. The reversal of 2564230100 is 10324652.

2564230100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156497 + ... + 172103.

It is an arithmetic number, because the mean of its divisors is an integer number (81286464).

Almost surely, 2^2564230100 is an apocalyptic number.

2564230100 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 2564230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926312704).

2564230100 is an abundant number, since it is smaller than the sum of its proper divisors (3288395308).

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

2564230100 is a wasteful number, since it uses less digits than its factorization.

2564230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15705 (or 15698 counting only the distinct ones).

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

The square root of 2564230100 is about 50638.2276546089. The cubic root of 2564230100 is about 1368.7338186754.

Adding to 2564230100 its reverse (10324652), we get a palindrome (2574554752).

The spelling of 2564230100 in words is "two billion, five hundred sixty-four million, two hundred thirty thousand, one hundred".