240819005952 has 120 divisors (see below), whose sum is σ = 794308628256. Its totient is φ = 68805421056.

The previous prime is 240819005951. The next prime is 240819006031. The reversal of 240819005952 is 259500918042.

It is a happy number.

240819005952 is a `hidden beast` number, since 2 + 40 + 8 + 19 + 0 + 0 + 595 + 2 = 666.

It is a super-2 number, since 2×240819005952² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240819005898 and 240819005907.

It is not an unprimeable number, because it can be changed into a prime (240819005951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3700678 + ... + 3765189.

Almost surely, 2^240819005952 is an apocalyptic number.

It is an amenable number.

240819005952 is an abundant number, since it is smaller than the sum of its proper divisors (553489622304).

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

240819005952 is an equidigital number, since it uses as much as digits as its factorization.

240819005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465898 (or 7465879 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 240819005952 in words is "two hundred forty billion, eight hundred nineteen million, five thousand, nine hundred fifty-two".