2224340011104 has 96 divisors (see below), whose sum is σ = 6038816716800. Its totient is φ = 716151321600.

The previous prime is 2224340011099. The next prime is 2224340011133. The reversal of 2224340011104 is 4011100434222.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833197 + ... + 2267795.

It is an arithmetic number, because the mean of its divisors is an integer number (62904340800).

Almost surely, 2^{2224340011104} is an apocalyptic number.

2224340011104 is a gapful number since it is divisible by the number (24) 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 2224340011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019408358400).

2224340011104 is an abundant number, since it is smaller than the sum of its proper divisors (3814476705696).

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

2224340011104 is a wasteful number, since it uses less digits than its factorization.

2224340011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435164 (or 1435156 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2224340011104 its reverse (4011100434222), we get a palindrome (6235440445326).

The spelling of 2224340011104 in words is "two trillion, two hundred twenty-four billion, three hundred forty million, eleven thousand, one hundred four".