2138160 has 80 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 556800.

The previous prime is 2138137. The next prime is 2138167. The reversal of 2138160 is 618312.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2138167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14085 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

2^2138160 is an apocalyptic number.

2138160 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 2138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2138160 is an abundant number, since it is smaller than the sum of its proper divisors (4647120).

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

2138160 is a wasteful number, since it uses less digits than its factorization.

2138160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2138160 is about 1462.2448495379. The cubic root of 2138160 is about 128.8289301422.

The spelling of 2138160 in words is "two million, one hundred thirty-eight thousand, one hundred sixty".