240973852800 has 384 divisors, whose sum is σ = 823384800000. Its totient is φ = 61869588480.

The previous prime is 240973852799. The next prime is 240973852811. The reversal of 240973852800 is 8258379042.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 240973852800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120546201 + ... + 120548199.

It is an arithmetic number, because the mean of its divisors is an integer number (2144231250).

Almost surely, 2^240973852800 is an apocalyptic number.

240973852800 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 240973852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411692400000).

240973852800 is an abundant number, since it is smaller than the sum of its proper divisors (582410947200).

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

240973852800 is a wasteful number, since it uses less digits than its factorization.

240973852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 240973852800 in words is "two hundred forty billion, nine hundred seventy-three million, eight hundred fifty-two thousand, eight hundred".