2229919632000 has 768 divisors, whose sum is σ = 8446426934400. Its totient is φ = 584506368000.

The previous prime is 2229919631993. The next prime is 2229919632019. The reversal of 2229919632000 is 2369199222.

2229919632000 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 9 + 1 + 9 + 632 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229387140 + ... + 229396860.

Almost surely, 2^{2229919632000} is an apocalyptic number.

2229919632000 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 2229919632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223213467200).

2229919632000 is an abundant number, since it is smaller than the sum of its proper divisors (6216507302400).

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

2229919632000 is an frugal number, since it uses more digits than its factorization.

2229919632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 2229919632000 in words is "two trillion, two hundred twenty-nine billion, nine hundred nineteen million, six hundred thirty-two thousand".