2259072 has 96 divisors (see below), whose sum is σ = 6802380. Its totient is φ = 718848.

The previous prime is 2259053. The next prime is 2259097. The reversal of 2259072 is 2709522.

It is a happy number.

2259072 is a `hidden beast` number, since 2 + 2 + 590 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 254016 = 1416^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42598 + ... + 42650.

2^2259072 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 2259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401190).

2259072 is an abundant number, since it is smaller than the sum of its proper divisors (4543308).

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

2259072 is a wasteful number, since it uses less digits than its factorization.

2259072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2259072 is about 1503.0209579377. The cubic root of 2259072 is about 131.2129473639.

The spelling of 2259072 in words is "two million, two hundred fifty-nine thousand, seventy-two".