240254719040 has 112 divisors (see below), whose sum is σ = 654012237312. Its totient is φ = 82350852096.

The previous prime is 240254718947. The next prime is 240254719049. The reversal of 240254719040 is 40917452042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 240254718985 and 240254719003.

It is not an unprimeable number, because it can be changed into a prime (240254719049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9783257 + ... + 9807783.

It is an arithmetic number, because the mean of its divisors is an integer number (5839394976).

Almost surely, 2^240254719040 is an apocalyptic number.

240254719040 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 240254719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327006118656).

240254719040 is an abundant number, since it is smaller than the sum of its proper divisors (413757518272).

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

240254719040 is a wasteful number, since it uses less digits than its factorization.

240254719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28924 (or 28914 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 240254719040 in words is "two hundred forty billion, two hundred fifty-four million, seven hundred nineteen thousand, forty".