2742160 has 40 divisors (see below), whose sum is σ = 6446016. Its totient is φ = 1084800.

The previous prime is 2742139. The next prime is 2742161. The reversal of 2742160 is 612472.

2742160 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 not an unprimeable number, because it can be changed into a prime (2742161) 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, 11967 + ... + 12193.

2^2742160 is an apocalyptic number.

2742160 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 2742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223008).

2742160 is an abundant number, since it is smaller than the sum of its proper divisors (3703856).

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

2742160 is a wasteful number, since it uses less digits than its factorization.

2742160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2742160 is about 1655.9468590507. The cubic root of 2742160 is about 139.9687004859.

The spelling of 2742160 in words is "two million, seven hundred forty-two thousand, one hundred sixty".