2418080 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 774144.

The previous prime is 2418079. The next prime is 2418083. The reversal of 2418080 is 808142.

It is a super-2 number, since 2×2418080² = 11694221772800, which contains 22 as substring.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18977 + ... + 19103.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2^2418080 is an apocalyptic number.

2418080 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 2418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2418080 is an abundant number, since it is smaller than the sum of its proper divisors (4549216).

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

2418080 is a wasteful number, since it uses less digits than its factorization.

2418080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2418080 is about 1555.0176847869. The cubic root of 2418080 is about 134.2219533901.

The spelling of 2418080 in words is "two million, four hundred eighteen thousand, eighty".