2229244416000 has 1560 divisors, whose sum is σ = 9676628995176. Its totient is φ = 509077094400.

The previous prime is 2229244415971. The next prime is 2229244416031. The reversal of 2229244416000 is 6144429222.

2229244416000 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 2 + 4 + 4 + 41 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 226362802176 + 2002881613824 = 475776^2 + 1415232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2032127452 + ... + 2032128548.

Almost surely, 2^{2229244416000} is an apocalyptic number.

2229244416000 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 2229244416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838314497588).

2229244416000 is an abundant number, since it is smaller than the sum of its proper divisors (7447384579176).

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

2229244416000 is an equidigital number, since it uses as much as digits as its factorization.

2229244416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2229244416000 in words is "two trillion, two hundred twenty-nine billion, two hundred forty-four million, four hundred sixteen thousand".