2226351079552 has 128 divisors (see below), whose sum is σ = 4886493926400. Its totient is φ = 1005679825920.

The previous prime is 2226351079531. The next prime is 2226351079567. The reversal of 2226351079552 is 2559701536222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2226351079496 and 2226351079505.

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, 18454693 + ... + 18574939.

It is an arithmetic number, because the mean of its divisors is an integer number (38175733800).

Almost surely, 2^{2226351079552} 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 2226351079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443246963200).

2226351079552 is an abundant number, since it is smaller than the sum of its proper divisors (2660142846848).

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

2226351079552 is a wasteful number, since it uses less digits than its factorization.

2226351079552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120634 (or 120622 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

The spelling of 2226351079552 in words is "two trillion, two hundred twenty-six billion, three hundred fifty-one million, seventy-nine thousand, five hundred fifty-two".