2226628371744 has 192 divisors, whose sum is σ = 7424437708800. Its totient is φ = 635978697984.

The previous prime is 2226628371731. The next prime is 2226628371809. The reversal of 2226628371744 is 4471738266222.

2226628371744 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 628 + 3 + 7 + 1 + 7 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19653949 + ... + 19766915.

It is an arithmetic number, because the mean of its divisors is an integer number (38668946400).

Almost surely, 2^{2226628371744} is an apocalyptic number.

2226628371744 is a gapful number since it is divisible by the number (24) 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 2226628371744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712218854400).

2226628371744 is an abundant number, since it is smaller than the sum of its proper divisors (5197809337056).

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

2226628371744 is a wasteful number, since it uses less digits than its factorization.

2226628371744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116252 (or 116238 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 2226628371744 in words is "two trillion, two hundred twenty-six billion, six hundred twenty-eight million, three hundred seventy-one thousand, seven hundred forty-four".