2973120 has 112 divisors (see below), whose sum is σ = 9997440. Its totient is φ = 746496.

The previous prime is 2973119. The next prime is 2973121. The reversal of 2973120 is 213792.

2973120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2973119) and next prime (2973121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973121) 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 15 ways as a sum of consecutive naturals, for example, 18159 + ... + 18321.

2^2973120 is an apocalyptic number.

2973120 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 2973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998720).

2973120 is an abundant number, since it is smaller than the sum of its proper divisors (7024320).

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

2973120 is a wasteful number, since it uses less digits than its factorization.

2973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2973120 is about 1724.2737601669. The cubic root of 2973120 is about 143.7929122043.

The spelling of 2973120 in words is "two million, nine hundred seventy-three thousand, one hundred twenty".