2120202324240 has 1280 divisors, whose sum is σ = 9160453693440. Its totient is φ = 391442595840.

The previous prime is 2120202324197. The next prime is 2120202324241. The reversal of 2120202324240 is 424232020212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2120202324240.

It is not an unprimeable number, because it can be changed into a prime (2120202324241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 862220131 + ... + 862222589.

It is an arithmetic number, because the mean of its divisors is an integer number (7156604448).

Almost surely, 2^{2120202324240} is an apocalyptic number.

2120202324240 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 2120202324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580226846720).

2120202324240 is an abundant number, since it is smaller than the sum of its proper divisors (7040251369200).

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

2120202324240 is a wasteful number, since it uses less digits than its factorization.

2120202324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2120202324240 its reverse (424232020212), we get a palindrome (2544434344452).

It can be divided in two parts, 2120202 and 324240, that added together give a palindrome (2444442).

The spelling of 2120202324240 in words is "two trillion, one hundred twenty billion, two hundred two million, three hundred twenty-four thousand, two hundred forty".