201002020000240 has 320 divisors, whose sum is σ = 508236865044480. Its totient is φ = 73706722467840.

The previous prime is 201002020000163. The next prime is 201002020000241. The reversal of 201002020000240 is 42000020200102.

It is a self number, because there is not a number n which added to its sum of digits gives 201002020000240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002020000241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15810740124 + ... + 15810752836.

It is an arithmetic number, because the mean of its divisors is an integer number (1588240203264).

Almost surely, 2^{201002020000240} is an apocalyptic number.

201002020000240 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 201002020000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254118432522240).

201002020000240 is an abundant number, since it is smaller than the sum of its proper divisors (307234845044240).

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

201002020000240 is a wasteful number, since it uses less digits than its factorization.

201002020000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15432 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 201002020000240 its reverse (42000020200102), we get a palindrome (243002040200342).

The spelling of 201002020000240 in words is "two hundred one trillion, two billion, twenty million, two hundred forty", and thus it is an aban number.