2566432100 has 18 divisors (see below), whose sum is σ = 5569157874. Its totient is φ = 1026572800.

The previous prime is 2566432093. The next prime is 2566432109. The reversal of 2566432100 is 12346652.

It can be written as a sum of positive squares in 3 ways, for example, as 5262436 + 2561169664 = 2294^2 + 50608^2 .

It is not an unprimeable number, because it can be changed into a prime (2566432109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12832061 + ... + 12832260.

Almost surely, 2^2566432100 is an apocalyptic number.

2566432100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566432100 is an abundant number, since it is smaller than the sum of its proper divisors (3002725774).

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

2566432100 is a wasteful number, since it uses less digits than its factorization.

2566432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25664335 (or 25664328 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2566432100 is about 50659.9654559693. The cubic root of 2566432100 is about 1369.1255008349.

Adding to 2566432100 its reverse (12346652), we get a palindrome (2578778752).

The spelling of 2566432100 in words is "two billion, five hundred sixty-six million, four hundred thirty-two thousand, one hundred".