2245760 has 96 divisors (see below), whose sum is σ = 6104700. Its totient is φ = 788480.

The previous prime is 2245759. The next prime is 2245783. The reversal of 2245760 is 675422.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 7744 = 1496^2 + 88^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77426 + ... + 77454.

2^2245760 is an apocalyptic number.

2245760 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 2245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052350).

2245760 is an abundant number, since it is smaller than the sum of its proper divisors (3858940).

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

2245760 is a wasteful number, since it uses less digits than its factorization.

2245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2245760 is about 1498.5860002015. The cubic root of 2245760 is about 130.9547072603.

The spelling of 2245760 in words is "two million, two hundred forty-five thousand, seven hundred sixty".