240045120 has 448 divisors, whose sum is σ = 999744000. Its totient is φ = 54867456.

The previous prime is 240045103. The next prime is 240045133. The reversal of 240045120 is 21540042.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 240045093 and 240045102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34292157 + ... + 34292163.

Almost surely, 2^240045120 is an apocalyptic number.

240045120 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 240045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499872000).

240045120 is an abundant number, since it is smaller than the sum of its proper divisors (759698880).

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

240045120 is an frugal number, since it uses more digits than its factorization.

240045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 240045120 is about 15493.3895581309. The cubic root of 240045120 is about 621.4854427313.

Adding to 240045120 its reverse (21540042), we get a palindrome (261585162).

The spelling of 240045120 in words is "two hundred forty million, forty-five thousand, one hundred twenty".