2442880 has 64 divisors (see below), whose sum is σ = 6389280. Its totient is φ = 885760.

The previous prime is 2442871. The next prime is 2442889. The reversal of 2442880 is 882442.

It is an interprime number because it is at equal distance from previous prime (2442871) and next prime (2442889).

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2442889) 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, 6867 + ... + 7213.

2^2442880 is an apocalyptic number.

2442880 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 2442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194640).

2442880 is an abundant number, since it is smaller than the sum of its proper divisors (3946400).

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

2442880 is a wasteful number, since it uses less digits than its factorization.

2442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2442880 is about 1562.9715288514. The cubic root of 2442880 is about 134.6792568477.

The spelling of 2442880 in words is "two million, four hundred forty-two thousand, eight hundred eighty".