2418160 has 40 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 956160.

The previous prime is 2418137. The next prime is 2418161. The reversal of 2418160 is 618142.

2418160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13270 + ... + 13450.

2^2418160 is an apocalyptic number.

2418160 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 2418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2418160 is an abundant number, since it is smaller than the sum of its proper divisors (3268976).

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

2418160 is a wasteful number, since it uses less digits than its factorization.

2418160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2418160 is about 1555.0434077543. The cubic root of 2418160 is about 134.2234335779.

The spelling of 2418160 in words is "two million, four hundred eighteen thousand, one hundred sixty".