2604160 has 64 divisors (see below), whose sum is σ = 6725880. Its totient is φ = 958464.

The previous prime is 2604139. The next prime is 2604163. The reversal of 2604160 is 614062.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 1871424 = 856^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2604163) 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, 8164 + ... + 8476.

2^2604160 is an apocalyptic number.

2604160 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 2604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362940).

2604160 is an abundant number, since it is smaller than the sum of its proper divisors (4121720).

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

2604160 is a wasteful number, since it uses less digits than its factorization.

2604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2604160 is about 1613.7409953273. The cubic root of 2604160 is about 137.5801846353.

It can be divided in two parts, 260 and 4160, that multiplied together give a square (1081600 = 1040²).

The spelling of 2604160 in words is "two million, six hundred four thousand, one hundred sixty".