2961120 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 760320.

The previous prime is 2961113. The next prime is 2961121. The reversal of 2961120 is 211692.

2961120 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 (96).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961121) 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, 14781 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

2^2961120 is an apocalyptic number.

2961120 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 2961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

2961120 is an abundant number, since it is smaller than the sum of its proper divisors (6715680).

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

2961120 is a wasteful number, since it uses less digits than its factorization.

2961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2961120 is about 1720.7905160129. The cubic root of 2961120 is about 143.5991940841.

It can be divided in two parts, 2961 and 120, that added together give a triangular number (3081 = T₇₈).

The spelling of 2961120 in words is "two million, nine hundred sixty-one thousand, one hundred twenty".