2226538782720 has 672 divisors, whose sum is σ = 9147778593408. Its totient is φ = 508907225088.

The previous prime is 2226538782697. The next prime is 2226538782751. The reversal of 2226538782720 is 272878356222.

2226538782720 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 538 + 7 + 82 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69656982 + ... + 69688938.

It is an arithmetic number, because the mean of its divisors is an integer number (13612765764).

Almost surely, 2^{2226538782720} is an apocalyptic number.

2226538782720 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 2226538782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573889296704).

2226538782720 is an abundant number, since it is smaller than the sum of its proper divisors (6921239810688).

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

2226538782720 is an frugal number, since it uses more digits than its factorization.

2226538782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32010 (or 31974 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2226538782720 in words is "two trillion, two hundred twenty-six billion, five hundred thirty-eight million, seven hundred eighty-two thousand, seven hundred twenty".