331120240 has 80 divisors (see below), whose sum is σ = 846195840. Its totient is φ = 119496960.

The previous prime is 331120219. The next prime is 331120241. The reversal of 331120240 is 42021133.

It is a happy number.

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

It is a super-2 number, since 2×331120240² = 219281226675315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331120241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120967 + ... + 123673.

It is an arithmetic number, because the mean of its divisors is an integer number (10577448).

Almost surely, 2^331120240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423097920).

331120240 is an abundant number, since it is smaller than the sum of its proper divisors (515075600).

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

331120240 is a wasteful number, since it uses less digits than its factorization.

331120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 331120240 is about 18196.7095926709. The cubic root of 331120240 is about 691.8233926228.

Adding to 331120240 its reverse (42021133), we get a palindrome (373141373).

The spelling of 331120240 in words is "three hundred thirty-one million, one hundred twenty thousand, two hundred forty".