2259360 has 96 divisors (see below), whose sum is σ = 7922880. Its totient is φ = 601344.

The previous prime is 2259353. The next prime is 2259371. The reversal of 2259360 is 639522.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4059 + ... + 4581.

It is an arithmetic number, because the mean of its divisors is an integer number (82530).

2^2259360 is an apocalyptic number.

2259360 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 2259360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961440).

2259360 is an abundant number, since it is smaller than the sum of its proper divisors (5663520).

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

2259360 is a wasteful number, since it uses less digits than its factorization.

2259360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2259360 is about 1503.1167619317. The cubic root of 2259360 is about 131.2185230639.

The spelling of 2259360 in words is "two million, two hundred fifty-nine thousand, three hundred sixty".