2972288 has 32 divisors (see below), whose sum is σ = 6462720. Its totient is φ = 1350400.

The previous prime is 2972287. The next prime is 2972309. The reversal of 2972288 is 8822792.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2972287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 2463.

It is an arithmetic number, because the mean of its divisors is an integer number (201960).

2^2972288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231360).

2972288 is an abundant number, since it is smaller than the sum of its proper divisors (3490432).

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

2972288 is a wasteful number, since it uses less digits than its factorization.

2972288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2124 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 2972288 is about 1724.0324822926. The cubic root of 2972288 is about 143.7794979163.

The spelling of 2972288 in words is "two million, nine hundred seventy-two thousand, two hundred eighty-eight".