2973264 has 40 divisors (see below), whose sum is σ = 8779200. Its totient is φ = 849408.

The previous prime is 2973263. The next prime is 2973277. The reversal of 2973264 is 4623792.

2973264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973263) 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 7 ways as a sum of consecutive naturals, for example, 4089 + ... + 4760.

It is an arithmetic number, because the mean of its divisors is an integer number (219480).

2^2973264 is an apocalyptic number.

2973264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2973264 is an abundant number, since it is smaller than the sum of its proper divisors (5805936).

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

2973264 is a wasteful number, since it uses less digits than its factorization.

2973264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8861 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2973264 is about 1724.3155163716. The cubic root of 2973264 is about 143.7952336540.

The spelling of 2973264 in words is "two million, nine hundred seventy-three thousand, two hundred sixty-four".