2559100 has 36 divisors (see below), whose sum is σ = 5622904. Its totient is φ = 1010880.

The previous prime is 2559083. The next prime is 2559101. The reversal of 2559100 is 19552.

2559100 is nontrivially palindromic in base 9.

2559100 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15619 + ... + 15781.

2^2559100 is an apocalyptic number.

2559100 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 2559100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811452).

2559100 is an abundant number, since it is smaller than the sum of its proper divisors (3063804).

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

2559100 is a wasteful number, since it uses less digits than its factorization.

2559100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 2559100 is about 1599.7187252764. The cubic root of 2559100 is about 136.7820428306.

The spelling of 2559100 in words is "two million, five hundred fifty-nine thousand, one hundred".