2901120 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 773120.

The previous prime is 2901109. The next prime is 2901121. The reversal of 2901120 is 211092.

It is a happy number.

2901120 is digitally balanced in base 5, 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2901120.

It is not an unprimeable number, because it can be changed into a prime (2901121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1165 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

2^2901120 is an apocalyptic number.

2901120 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 2901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

2901120 is an abundant number, since it is smaller than the sum of its proper divisors (6352320).

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

2901120 is a wasteful number, since it uses less digits than its factorization.

2901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2901120 is about 1703.2674481713. The cubic root of 2901120 is about 142.6226706080.

The spelling of 2901120 in words is "two million, nine hundred one thousand, one hundred twenty".