2199924072000 has 336 divisors, whose sum is σ = 7957939532400. Its totient is φ = 580053196800.

The previous prime is 2199924071999. The next prime is 2199924072013. The reversal of 2199924072000 is 2704299912.

2199924072000 is a `hidden beast` number, since 219 + 9 + 9 + 2 + 407 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1011858951744 + 1188065120256 = 1005912^2 + 1089984^2 .

It is a super-2 number, since 2×2199924072000² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6236346 + ... + 6579654.

Almost surely, 2^{2199924072000} is an apocalyptic number.

2199924072000 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 2199924072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978969766200).

2199924072000 is an abundant number, since it is smaller than the sum of its proper divisors (5758015460400).

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

2199924072000 is a wasteful number, since it uses less digits than its factorization.

2199924072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343431 (or 343408 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 2199924072000 in words is "two trillion, one hundred ninety-nine billion, nine hundred twenty-four million, seventy-two thousand".