2114160 has 80 divisors (see below), whose sum is σ = 6856704. Its totient is φ = 537856.

The previous prime is 2114159. The next prime is 2114191. The reversal of 2114160 is 614112.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5329 + ... + 5711.

2^2114160 is an apocalyptic number.

2114160 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 2114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428352).

2114160 is an abundant number, since it is smaller than the sum of its proper divisors (4742544).

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

2114160 is a wasteful number, since it uses less digits than its factorization.

2114160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2114160 is about 1454.0151305953. The cubic root of 2114160 is about 128.3450974017.

Subtracting from 2114160 its product of nonzero digits (48), we obtain a palindrome (2114112).

Adding to 2114160 its reverse (614112), we get a palindrome (2728272).

It can be divided in two parts, 211 and 4160, that added together give a triangular number (4371 = T₉₃).

The spelling of 2114160 in words is "two million, one hundred fourteen thousand, one hundred sixty".