2997120 has 128 divisors (see below), whose sum is σ = 10967040. Its totient is φ = 681984.

The previous prime is 2997109. The next prime is 2997131. The reversal of 2997120 is 217992.

2997120 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 (2997109) and next prime (2997131).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 13329 + ... + 13551.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

2^2997120 is an apocalyptic number.

2997120 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 2997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520).

2997120 is an abundant number, since it is smaller than the sum of its proper divisors (7969920).

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

2997120 is a wasteful number, since it uses less digits than its factorization.

2997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2997120 is about 1731.2192235532. The cubic root of 2997120 is about 144.1787902680.

The spelling of 2997120 in words is "two million, nine hundred ninety-seven thousand, one hundred twenty".