2671560 has 96 divisors (see below), whose sum is σ = 8943480. Its totient is φ = 691200.

The previous prime is 2671541. The next prime is 2671561. The reversal of 2671560 is 651762.

It can be written as a sum of positive squares in 4 ways, for example, as 580644 + 2090916 = 762^2 + 1446^2 .

It is not an unprimeable number, because it can be changed into a prime (2671561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14670 + ... + 14850.

2^2671560 is an apocalyptic number.

2671560 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 2671560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471740).

2671560 is an abundant number, since it is smaller than the sum of its proper divisors (6271920).

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

2671560 is a wasteful number, since it uses less digits than its factorization.

2671560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2671560 is about 1634.4907463794. The cubic root of 2671560 is about 138.7570242366.

The spelling of 2671560 in words is "two million, six hundred seventy-one thousand, five hundred sixty".