2227642591104 has 240 divisors, whose sum is σ = 7711785647280. Its totient is φ = 636469166592.

The previous prime is 2227642591033. The next prime is 2227642591151. The reversal of 2227642591104 is 4011952467222.

2227642591104 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 6 + 42 + 591 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2227642591104.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 1684392 + ... + 2700455.

It is an arithmetic number, because the mean of its divisors is an integer number (32132440197).

Almost surely, 2^{2227642591104} is an apocalyptic number.

2227642591104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2227642591104 is an abundant number, since it is smaller than the sum of its proper divisors (5484143056176).

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

2227642591104 is an equidigital number, since it uses as much as digits as its factorization.

2227642591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384887 (or 4384859 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2227642591104 in words is "two trillion, two hundred twenty-seven billion, six hundred forty-two million, five hundred ninety-one thousand, one hundred four".