2838160 has 40 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 1047552.

The previous prime is 2838151. The next prime is 2838169. The reversal of 2838160 is 618382.

It is an interprime number because it is at equal distance from previous prime (2838151) and next prime (2838169).

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 2359296 = 692^2 + 1536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 2404.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

2^2838160 is an apocalyptic number.

2838160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2838160 is an abundant number, since it is smaller than the sum of its proper divisors (4270760).

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

2838160 is a wasteful number, since it uses less digits than its factorization.

2838160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2838160 is about 1684.6839466203. The cubic root of 2838160 is about 141.5833851147.

Subtracting from 2838160 its product of nonzero digits (2304), we obtain a square (2835856 = 1684²).

It can be divided in two parts, 28381 and 60, that added together give a triangular number (28441 = T₂₃₈).

The spelling of 2838160 in words is "two million, eight hundred thirty-eight thousand, one hundred sixty".