2286720 has 96 divisors (see below), whose sum is σ = 7916220. Its totient is φ = 608256.

The previous prime is 2286701. The next prime is 2286749. The reversal of 2286720 is 276822.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 576 = 1512^2 + 24^2 .

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, 5562 + ... + 5958.

2^2286720 is an apocalyptic number.

2286720 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 2286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958110).

2286720 is an abundant number, since it is smaller than the sum of its proper divisors (5629500).

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

2286720 is a wasteful number, since it uses less digits than its factorization.

2286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2286720 is about 1512.1904641942. The cubic root of 2286720 is about 131.7460682923.

The spelling of 2286720 in words is "two million, two hundred eighty-six thousand, seven hundred twenty".