2228683248000 has 2304 divisors, whose sum is σ = 9580378429440. Its totient is φ = 510105600000.

The previous prime is 2228683247993. The next prime is 2228683248053. The reversal of 2228683248000 is 8423868222.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54358127980 + ... + 54358128020.

It is an arithmetic number, because the mean of its divisors is an integer number (4158150360).

Almost surely, 2^{2228683248000} is an apocalyptic number.

2228683248000 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 2228683248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790189214720).

2228683248000 is an abundant number, since it is smaller than the sum of its proper divisors (7351695181440).

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

2228683248000 is an equidigital number, since it uses as much as digits as its factorization.

2228683248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2228683248000 in words is "two trillion, two hundred twenty-eight billion, six hundred eighty-three million, two hundred forty-eight thousand".