2289664 has 52 divisors (see below), whose sum is σ = 5045656. Its totient is φ = 1032192.

The previous prime is 2289659. The next prime is 2289667. The reversal of 2289664 is 4669822.

2289664 = T₅₈₇ + T₅₈₈ + ... + T₅₉₉.

It is a tau number, because it is divible by the number of its divisors (52).

It is a super-2 number, since 2×2289664² = 10485122465792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53227 + ... + 53269.

2^2289664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522828).

2289664 is an abundant number, since it is smaller than the sum of its proper divisors (2755992).

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

2289664 is an equidigital number, since it uses as much as digits as its factorization.

2289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 58 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 2289664 is about 1513.1635734447. The cubic root of 2289664 is about 131.8025821485.

It can be divided in two parts, 2289 and 664, that multiplied together give a triangular number (1519896 = T₁₇₄₃).

The spelling of 2289664 in words is "two million, two hundred eighty-nine thousand, six hundred sixty-four".