2955120 has 80 divisors (see below), whose sum is σ = 10475520. Its totient is φ = 675072.

The previous prime is 2955119. The next prime is 2955131. The reversal of 2955120 is 215592.

2955120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 801 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (130944).

2^2955120 is an apocalyptic number.

2955120 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 2955120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237760).

2955120 is an abundant number, since it is smaller than the sum of its proper divisors (7520400).

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

2955120 is a wasteful number, since it uses less digits than its factorization.

2955120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2955120 is about 1719.0462471964. The cubic root of 2955120 is about 143.5021387177.

The spelling of 2955120 in words is "two million, nine hundred fifty-five thousand, one hundred twenty".