2226401363340 has 288 divisors, whose sum is σ = 8647410530304. Its totient is φ = 450125268480.

The previous prime is 2226401363317. The next prime is 2226401363437. The reversal of 2226401363340 is 433631046222.

2226401363340 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 4 + 0 + 13 + 633 + 4 + 0 = 666.

2226401363340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2226401363295 and 2226401363304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1657924 + ... + 2683563.

It is an arithmetic number, because the mean of its divisors is an integer number (30025731008).

Almost surely, 2^{2226401363340} is an apocalyptic number.

2226401363340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226401363340 is an abundant number, since it is smaller than the sum of its proper divisors (6421009166964).

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

2226401363340 is a wasteful number, since it uses less digits than its factorization.

2226401363340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341557 (or 4341552 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 2226401363340 in words is "two trillion, two hundred twenty-six billion, four hundred one million, three hundred sixty-three thousand, three hundred forty".