2542160 has 40 divisors (see below), whose sum is σ = 6056160. Its totient is φ = 991872.

The previous prime is 2542151. The next prime is 2542187. The reversal of 2542160 is 612452.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3071 + ... + 3809.

It is an arithmetic number, because the mean of its divisors is an integer number (151404).

2^2542160 is an apocalyptic number.

2542160 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 2542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028080).

2542160 is an abundant number, since it is smaller than the sum of its proper divisors (3514000).

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

2542160 is a wasteful number, since it uses less digits than its factorization.

2542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2542160 is about 1594.4152533139. The cubic root of 2542160 is about 136.4795641785.

The spelling of 2542160 in words is "two million, five hundred forty-two thousand, one hundred sixty".