2981120 has 72 divisors (see below), whose sum is σ = 7615944. Its totient is φ = 1114112.

The previous prime is 2981089. The next prime is 2981123. The reversal of 2981120 is 211892.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 2262016 = 848^2 + 1504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981123) 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, 21692 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (105777).

2^2981120 is an apocalyptic number.

2981120 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 2981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807972).

2981120 is an abundant number, since it is smaller than the sum of its proper divisors (4634824).

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

2981120 is a wasteful number, since it uses less digits than its factorization.

2981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2981120 is about 1726.5920189784. The cubic root of 2981120 is about 143.9217682058.

The spelling of 2981120 in words is "two million, nine hundred eighty-one thousand, one hundred twenty".