2259810 has 96 divisors (see below), whose sum is σ = 7143552. Its totient is φ = 483840.

The previous prime is 2259791. The next prime is 2259811. The reversal of 2259810 is 189522.

2259810 is nontrivially palindromic in base 4.

2259810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2259810² = 10213482472200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2259811) 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 47 ways as a sum of consecutive naturals, for example, 10605 + ... + 10815.

It is an arithmetic number, because the mean of its divisors is an integer number (74412).

2^2259810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571776).

2259810 is an abundant number, since it is smaller than the sum of its proper divisors (4883742).

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

2259810 is a wasteful number, since it uses less digits than its factorization.

2259810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2259810 is about 1503.2664434491. The cubic root of 2259810 is about 131.2272341466.

The spelling of 2259810 in words is "two million, two hundred fifty-nine thousand, eight hundred ten".