2983160 has 64 divisors (see below), whose sum is σ = 7348320. Its totient is φ = 1085440.

The previous prime is 2983153. The next prime is 2983163. The reversal of 2983160 is 613892.

2983160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2983163) 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 15 ways as a sum of consecutive naturals, for example, 27827 + ... + 27933.

2^2983160 is an apocalyptic number.

2983160 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 2983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160).

2983160 is an abundant number, since it is smaller than the sum of its proper divisors (4365160).

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

2983160 is a wasteful number, since it uses less digits than its factorization.

2983160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2983160 is about 1727.1826770785. The cubic root of 2983160 is about 143.9545895908.

The spelling of 2983160 in words is "two million, nine hundred eighty-three thousand, one hundred sixty".