2120214224040 has 256 divisors, whose sum is σ = 7011109405440. Its totient is φ = 508646400000.

The previous prime is 2120214224017. The next prime is 2120214224053. The reversal of 2120214224040 is 404224120212.

It is a happy number.

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 2120214224040.

It is an unprimeable number.

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, 493415172 + ... + 493419468.

It is an arithmetic number, because the mean of its divisors is an integer number (27387146115).

Almost surely, 2^{2120214224040} is an apocalyptic number.

2120214224040 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 2120214224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505554702720).

2120214224040 is an abundant number, since it is smaller than the sum of its proper divisors (4890895181400).

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

2120214224040 is a wasteful number, since it uses less digits than its factorization.

2120214224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2120214224040 its reverse (404224120212), we get a palindrome (2524438344252).

The spelling of 2120214224040 in words is "two trillion, one hundred twenty billion, two hundred fourteen million, two hundred twenty-four thousand, forty".