2229534720000 has 1320 divisors, whose sum is σ = 9538985872416. Its totient is φ = 509607936000.

The previous prime is 2229534719987. The next prime is 2229534720047. The reversal of 2229534720000 is 274359222.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (5!)³ ⋅ (2!)⁵.

2229534720000 is a `hidden beast` number, since 2 + 2 + 295 + 347 + 20 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 318504959997 + ... + 318504960003.

Almost surely, 2^{2229534720000} is an apocalyptic number.

2229534720000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2229534720000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229534720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769492936208).

2229534720000 is an abundant number, since it is smaller than the sum of its proper divisors (7309451152416).

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

2229534720000 is an frugal number, since it uses more digits than its factorization.

2229534720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2229534720000 in words is "two trillion, two hundred twenty-nine billion, five hundred thirty-four million, seven hundred twenty thousand".