2671760 has 80 divisors (see below), whose sum is σ = 7666176. Its totient is φ = 843264.

The previous prime is 2671751. The next prime is 2671777. The reversal of 2671760 is 671762.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7097 + ... + 7463.

2^2671760 is an apocalyptic number.

2671760 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 2671760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833088).

2671760 is an abundant number, since it is smaller than the sum of its proper divisors (4994416).

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

2671760 is a wasteful number, since it uses less digits than its factorization.

2671760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 2671760 is about 1634.5519263700. The cubic root of 2671760 is about 138.7604867219.

The spelling of 2671760 in words is "two million, six hundred seventy-one thousand, seven hundred sixty".