240005522001 has 48 divisors (see below), whose sum is σ = 386275478400. Its totient is φ = 129829810176.

The previous prime is 240005521937. The next prime is 240005522033. The reversal of 240005522001 is 100225500042.

It is a happy number.

240005522001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240005522001 - 2⁶ = 240005521937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (240005522201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10670395 + ... + 10692863.

It is an arithmetic number, because the mean of its divisors is an integer number (8047405800).

Almost surely, 2^240005522001 is an apocalyptic number.

240005522001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

240005522001 is a deficient number, since it is larger than the sum of its proper divisors (146269956399).

240005522001 is a wasteful number, since it uses less digits than its factorization.

240005522001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23926 (or 23907 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 240005522001 in words is "two hundred forty billion, five million, five hundred twenty-two thousand, one".