2122004401440 has 768 divisors, whose sum is σ = 8909847797760. Its totient is φ = 410956922880.

The previous prime is 2122004401409. The next prime is 2122004401481. The reversal of 2122004401440 is 441044002212.

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 2122004401440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64700566 + ... + 64733354.

It is an arithmetic number, because the mean of its divisors is an integer number (11601364320).

Almost surely, 2^{2122004401440} is an apocalyptic number.

2122004401440 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 2122004401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454923898880).

2122004401440 is an abundant number, since it is smaller than the sum of its proper divisors (6787843396320).

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

2122004401440 is a wasteful number, since it uses less digits than its factorization.

2122004401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32945 (or 32937 counting only the distinct ones).

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

Adding to 2122004401440 its reverse (441044002212), we get a palindrome (2563048403652).

The spelling of 2122004401440 in words is "two trillion, one hundred twenty-two billion, four million, four hundred one thousand, four hundred forty".