2268960 has 96 divisors (see below), whose sum is σ = 7439040. Its totient is φ = 580608.

The previous prime is 2268949. The next prime is 2268977. The reversal of 2268960 is 698622.

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

It is an Ulam number.

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, 13839 + ... + 14001.

It is an arithmetic number, because the mean of its divisors is an integer number (77490).

2^2268960 is an apocalyptic number.

2268960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2268960 is the 870-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520).

2268960 is an abundant number, since it is smaller than the sum of its proper divisors (5170080).

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

2268960 is a wasteful number, since it uses less digits than its factorization.

2268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2268960 is about 1506.3067416698. The cubic root of 2268960 is about 131.4041092289.

The spelling of 2268960 in words is "two million, two hundred sixty-eight thousand, nine hundred sixty".