2078160 has 80 divisors (see below), whose sum is σ = 7368576. Its totient is φ = 474624.

The previous prime is 2078159. The next prime is 2078161. The reversal of 2078160 is 618702.

It is an interprime number because it is at equal distance from previous prime (2078159) and next prime (2078161).

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2078160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 2298.

2^2078160 is an apocalyptic number.

2078160 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 2078160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684288).

2078160 is an abundant number, since it is smaller than the sum of its proper divisors (5290416).

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

2078160 is a wasteful number, since it uses less digits than its factorization.

2078160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2078160 is about 1441.5824638223. The cubic root of 2078160 is about 127.6124344627.

The spelling of 2078160 in words is "two million, seventy-eight thousand, one hundred sixty".