2972880 has 60 divisors (see below), whose sum is σ = 9986340. Its totient is φ = 792576.

The previous prime is 2972863. The next prime is 2972881. The reversal of 2972880 is 882792.

2972880 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 1354896 + 1617984 = 1164^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972881) 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 11 ways as a sum of consecutive naturals, for example, 1345 + ... + 2784.

It is an arithmetic number, because the mean of its divisors is an integer number (166439).

2^2972880 is an apocalyptic number.

2972880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2972880 is an abundant number, since it is smaller than the sum of its proper divisors (7013460).

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

2972880 is a wasteful number, since it uses less digits than its factorization.

2972880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2972880 is about 1724.2041642451. The cubic root of 2972880 is about 143.7890429550.

The spelling of 2972880 in words is "two million, nine hundred seventy-two thousand, eight hundred eighty".