240225000000 has 252 divisors, whose sum is σ = 794741780592. Its totient is φ = 64040000000.

The previous prime is 240224999977. The next prime is 240225000061. The reversal of 240225000000 is 522042.

240225000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74998399 + ... + 75001601.

Almost surely, 2^240225000000 is an apocalyptic number.

240225000000 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 240225000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397370890296).

240225000000 is an abundant number, since it is smaller than the sum of its proper divisors (554516780592).

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

240225000000 is an frugal number, since it uses more digits than its factorization.

240225000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 240225000000 its reverse (522042), we get a palindrome (240225522042).

The spelling of 240225000000 in words is "two hundred forty billion, two hundred twenty-five million", and thus it is an aban number.