2871680 has 64 divisors (see below), whose sum is σ = 7858080. Its totient is φ = 983040.

The previous prime is 2871643. The next prime is 2871689. The reversal of 2871680 is 861782.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2871689) 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, 4160 + ... + 4800.

2^2871680 is an apocalyptic number.

2871680 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 2871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929040).

2871680 is an abundant number, since it is smaller than the sum of its proper divisors (4986400).

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

2871680 is an equidigital number, since it uses as much as digits as its factorization.

2871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 2871680 is about 1694.6031983919. The cubic root of 2871680 is about 142.1385937749.

The spelling of 2871680 in words is "two million, eight hundred seventy-one thousand, six hundred eighty".