2566100000 has 144 divisors (see below), whose sum is σ = 6425588736. Its totient is φ = 1008480000.

The previous prime is 2566099999. The next prime is 2566100011. The reversal of 2566100000 is 16652.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6699809 + ... + 6700191.

It is an arithmetic number, because the mean of its divisors is an integer number (44622144).

Almost surely, 2^2566100000 is an apocalyptic number.

2566100000 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 2566100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212794368).

2566100000 is an abundant number, since it is smaller than the sum of its proper divisors (3859488736).

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

2566100000 is an frugal number, since it uses more digits than its factorization.

2566100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2566100000 is about 50656.6876137791. The cubic root of 2566100000 is about 1369.0664426853.

Adding to 2566100000 its reverse (16652), we get a palindrome (2566116652).

The spelling of 2566100000 in words is "two billion, five hundred sixty-six million, one hundred thousand".