2931120 has 160 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 734976.

The previous prime is 2931113. The next prime is 2931127. The reversal of 2931120 is 211392.

It is a happy number.

2931120 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 (2931113) and next prime (2931127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2931093 and 2931102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2931127) 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 31 ways as a sum of consecutive naturals, for example, 49651 + ... + 49709.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2^2931120 is an apocalyptic number.

2931120 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 2931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

2931120 is an abundant number, since it is smaller than the sum of its proper divisors (7782480).

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

2931120 is a wasteful number, since it uses less digits than its factorization.

2931120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2931120 is about 1712.0514010975. The cubic root of 2931120 is about 143.1125981639.

The spelling of 2931120 in words is "two million, nine hundred thirty-one thousand, one hundred twenty".