2566055100 has 288 divisors, whose sum is σ = 8785993216. Its totient is φ = 566092800.

The previous prime is 2566055083. The next prime is 2566055113. The reversal of 2566055100 is 15506652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14177010 + ... + 14177190.

Almost surely, 2^2566055100 is an apocalyptic number.

2566055100 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 2566055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392996608).

2566055100 is an abundant number, since it is smaller than the sum of its proper divisors (6219938116).

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

2566055100 is a wasteful number, since it uses less digits than its factorization.

2566055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2566055100 is about 50656.2444324488. The cubic root of 2566055100 is about 1369.0584576183.

The spelling of 2566055100 in words is "two billion, five hundred sixty-six million, fifty-five thousand, one hundred".