2442560 has 56 divisors (see below), whose sum is σ = 6172200. Its totient is φ = 917504.

The previous prime is 2442547. The next prime is 2442563. The reversal of 2442560 is 652442.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 1827904 = 784^2 + 1352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442563) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5216 + ... + 5664.

2^2442560 is an apocalyptic number.

2442560 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 2442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086100).

2442560 is an abundant number, since it is smaller than the sum of its proper divisors (3729640).

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

2442560 is a wasteful number, since it uses less digits than its factorization.

2442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2442560 is about 1562.8691563915. The cubic root of 2442560 is about 134.6733759142.

The spelling of 2442560 in words is "two million, four hundred forty-two thousand, five hundred sixty".