2196252907200 has 504 divisors, whose sum is σ = 8618287519296. Its totient is φ = 526007040000.

The previous prime is 2196252907183. The next prime is 2196252907213. The reversal of 2196252907200 is 27092526912.

2196252907200 is a `hidden beast` number, since 2 + 19 + 625 + 2 + 9 + 0 + 7 + 2 + 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 71 ways as a sum of consecutive naturals, for example, 13063675 + ... + 13230725.

It is an arithmetic number, because the mean of its divisors is an integer number (17099776824).

Almost surely, 2^{2196252907200} is an apocalyptic number.

2196252907200 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 2196252907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309143759648).

2196252907200 is an abundant number, since it is smaller than the sum of its proper divisors (6422034612096).

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

2196252907200 is a wasteful number, since it uses less digits than its factorization.

2196252907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167173 (or 167155 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2196252907200 in words is "two trillion, one hundred ninety-six billion, two hundred fifty-two million, nine hundred seven thousand, two hundred".