2971080 has 160 divisors (see below), whose sum is σ = 11499840. Its totient is φ = 673920.

The previous prime is 2971051. The next prime is 2971081. The reversal of 2971080 is 801792.

2971080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2971081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22615 + ... + 22745.

It is an arithmetic number, because the mean of its divisors is an integer number (71874).

2^2971080 is an apocalyptic number.

2971080 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 2971080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749920).

2971080 is an abundant number, since it is smaller than the sum of its proper divisors (8528760).

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

2971080 is a wasteful number, since it uses less digits than its factorization.

2971080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2971080 is about 1723.6821052619. The cubic root of 2971080 is about 143.7600169453.

The spelling of 2971080 in words is "two million, nine hundred seventy-one thousand, eighty".