2240121022304 has 96 divisors (see below), whose sum is σ = 4928319728640. Its totient is φ = 993493670400.

The previous prime is 2240121022247. The next prime is 2240121022309. The reversal of 2240121022304 is 4032201210422.

It is a self number, because there is not a number n which added to its sum of digits gives 2240121022304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240121022309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14164337 + ... + 14321615.

It is an arithmetic number, because the mean of its divisors is an integer number (51336663840).

Almost surely, 2^{2240121022304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240121022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464159864320).

2240121022304 is an abundant number, since it is smaller than the sum of its proper divisors (2688198706336).

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

2240121022304 is a wasteful number, since it uses less digits than its factorization.

2240121022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158284 (or 158276 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2240121022304 its reverse (4032201210422), we get a palindrome (6272322232726).

The spelling of 2240121022304 in words is "two trillion, two hundred forty billion, one hundred twenty-one million, twenty-two thousand, three hundred four".