2015760 has 80 divisors (see below), whose sum is σ = 6446016. Its totient is φ = 520704.

The previous prime is 2015753. The next prime is 2015771. The reversal of 2015760 is 675102.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8767 + ... + 8993.

2^2015760 is an apocalyptic number.

2015760 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 2015760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223008).

2015760 is an abundant number, since it is smaller than the sum of its proper divisors (4430256).

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

2015760 is a wasteful number, since it uses less digits than its factorization.

2015760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2015760 is about 1419.7746300029. The cubic root of 2015760 is about 126.3221787704.

It can be divided in two parts, 2015 and 760, that added together give a triangular number (2775 = T₇₄).

The spelling of 2015760 in words is "two million, fifteen thousand, seven hundred sixty".