2266558744320 has 2016 divisors, whose sum is σ = 9627149246400. Its totient is φ = 505658474496.

The previous prime is 2266558744309. The next prime is 2266558744393. The reversal of 2266558744320 is 234478556622.

2266558744320 is a `hidden beast` number, since 2 + 2 + 66 + 558 + 7 + 4 + 4 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5980365891 + ... + 5980366269.

It is an arithmetic number, because the mean of its divisors is an integer number (4775371650).

Almost surely, 2^{2266558744320} is an apocalyptic number.

2266558744320 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 2266558744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813574623200).

2266558744320 is an abundant number, since it is smaller than the sum of its proper divisors (7360590502080).

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

2266558744320 is a wasteful number, since it uses less digits than its factorization.

2266558744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2266558744320 in words is "two trillion, two hundred sixty-six billion, five hundred fifty-eight million, seven hundred forty-four thousand, three hundred twenty".