240258372480 has 1024 divisors, whose sum is σ = 1063176192000. Its totient is φ = 50005278720.

The previous prime is 240258372457. The next prime is 240258372491. The reversal of 240258372480 is 84273852042.

240258372480 is a `hidden beast` number, since 2 + 4 + 0 + 25 + 83 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63744036 + ... + 63747804.

It is an arithmetic number, because the mean of its divisors is an integer number (1038258000).

Almost surely, 2^240258372480 is an apocalyptic number.

240258372480 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 240258372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531588096000).

240258372480 is an abundant number, since it is smaller than the sum of its proper divisors (822917819520).

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

240258372480 is a wasteful number, since it uses less digits than its factorization.

240258372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 240258372480 in words is "two hundred forty billion, two hundred fifty-eight million, three hundred seventy-two thousand, four hundred eighty".