2971880 has 16 divisors (see below), whose sum is σ = 6686820. Its totient is φ = 1188736.

The previous prime is 2971879. The next prime is 2971883. The reversal of 2971880 is 881792.

It is a happy number.

2971880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2896804 + 75076 = 1702^2 + 274^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2971880.

It is not an unprimeable number, because it can be changed into a prime (2971883) 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 3 ways as a sum of consecutive naturals, for example, 37109 + ... + 37188.

2^2971880 is an apocalyptic number.

2971880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2971880 is an abundant number, since it is smaller than the sum of its proper divisors (3714940).

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

2971880 is a wasteful number, since it uses less digits than its factorization.

2971880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74308 (or 74304 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 2971880 is about 1723.9141509948. The cubic root of 2971880 is about 143.7729188410.

The spelling of 2971880 in words is "two million, nine hundred seventy-one thousand, eight hundred eighty".