2566402100 has 72 divisors (see below), whose sum is σ = 5935120128. Its totient is φ = 960995200.

The previous prime is 2566402087. The next prime is 2566402109. The reversal of 2566402100 is 12046652.

It is a self number, because there is not a number n which added to its sum of digits gives 2566402100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566402109) by changing a digit.

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, 96230 + ... + 119970.

It is an arithmetic number, because the mean of its divisors is an integer number (82432224).

Almost surely, 2^2566402100 is an apocalyptic number.

2566402100 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 2566402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967560064).

2566402100 is an abundant number, since it is smaller than the sum of its proper divisors (3368718028).

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

2566402100 is a wasteful number, since it uses less digits than its factorization.

2566402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23825 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2566402100 is about 50659.6693633111. The cubic root of 2566402100 is about 1369.1201660714.

Adding to 2566402100 its reverse (12046652), we get a palindrome (2578448752).

The spelling of 2566402100 in words is "two billion, five hundred sixty-six million, four hundred two thousand, one hundred".