2001242120240 has 320 divisors, whose sum is σ = 5421315692160. Its totient is φ = 678973931520.

The previous prime is 2001242120219. The next prime is 2001242120281. The reversal of 2001242120240 is 420212421002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 880439744 + ... + 880442016.

It is an arithmetic number, because the mean of its divisors is an integer number (16941611538).

Almost surely, 2^{2001242120240} is an apocalyptic number.

2001242120240 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 2001242120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710657846080).

2001242120240 is an abundant number, since it is smaller than the sum of its proper divisors (3420073571920).

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

2001242120240 is a wasteful number, since it uses less digits than its factorization.

2001242120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2001242120240 its reverse (420212421002), we get a palindrome (2421454541242).

The spelling of 2001242120240 in words is "two trillion, one billion, two hundred forty-two million, one hundred twenty thousand, two hundred forty".