2760160 has 48 divisors (see below), whose sum is σ = 7027776. Its totient is φ = 1018368.

The previous prime is 2760151. The next prime is 2760179. The reversal of 2760160 is 610672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1417 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (146412).

2^2760160 is an apocalyptic number.

2760160 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 2760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513888).

2760160 is an abundant number, since it is smaller than the sum of its proper divisors (4267616).

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

2760160 is a wasteful number, since it uses less digits than its factorization.

2760160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 2760160 is about 1661.3729262270. The cubic root of 2760160 is about 140.2742921796.

The spelling of 2760160 in words is "two million, seven hundred sixty thousand, one hundred sixty".