2841160 has 64 divisors (see below), whose sum is σ = 7459200. Its totient is φ = 953856.

The previous prime is 2841151. The next prime is 2841161. The reversal of 2841160 is 611482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2841161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20371 + ... + 20509.

It is an arithmetic number, because the mean of its divisors is an integer number (116550).

2^2841160 is an apocalyptic number.

2841160 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 2841160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729600).

2841160 is an abundant number, since it is smaller than the sum of its proper divisors (4618040).

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

2841160 is a wasteful number, since it uses less digits than its factorization.

2841160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2841160 is about 1685.5740861795. The cubic root of 2841160 is about 141.6332531732.

It can be divided in two parts, 284 and 1160, that added together give a square (1444 = 38²).

The spelling of 2841160 in words is "two million, eight hundred forty-one thousand, one hundred sixty".