2468160 has 84 divisors (see below), whose sum is σ = 8499348. Its totient is φ = 657408.

The previous prime is 2468143. The next prime is 2468183. The reversal of 2468160 is 618642.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 788544 = 1296^2 + 888^2 .

It is a super-3 number, since 3×2468160³ = 45106713339199488000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2452 + ... + 3308.

2^2468160 is an apocalyptic number.

2468160 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 2468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249674).

2468160 is an abundant number, since it is smaller than the sum of its proper divisors (6031188).

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

2468160 is a wasteful number, since it uses less digits than its factorization.

2468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2468160 is about 1571.0378735091. The cubic root of 2468160 is about 135.1422369169.

It can be divided in two parts, 2468 and 160, that added together give a triangular number (2628 = T₇₂).

The spelling of 2468160 in words is "two million, four hundred sixty-eight thousand, one hundred sixty".