2226255827040 has 720 divisors, whose sum is σ = 9538604282592. Its totient is φ = 478919983104.

The previous prime is 2226255827039. The next prime is 2226255827071. The reversal of 2226255827040 is 407285526222.

2226255827040 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 25 + 582 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26175624 + ... + 26260536.

Almost surely, 2^{2226255827040} is an apocalyptic number.

2226255827040 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 2226255827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769302141296).

2226255827040 is an abundant number, since it is smaller than the sum of its proper divisors (7312348455552).

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

2226255827040 is a wasteful number, since it uses less digits than its factorization.

2226255827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84981 (or 84947 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2226255827040 in words is "two trillion, two hundred twenty-six billion, two hundred fifty-five million, eight hundred twenty-seven thousand, forty".