2214205153200 has 180 divisors, whose sum is σ = 7686800179968. Its totient is φ = 590232384000.

The previous prime is 2214205153151. The next prime is 2214205153219. The reversal of 2214205153200 is 23515024122.

2214205153200 is a `hidden beast` number, since 2 + 2 + 142 + 0 + 515 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9558750 + ... + 9787650.

Almost surely, 2^{2214205153200} is an apocalyptic number.

2214205153200 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 2214205153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843400089984).

2214205153200 is an abundant number, since it is smaller than the sum of its proper divisors (5472595026768).

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

2214205153200 is a wasteful number, since it uses less digits than its factorization.

2214205153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231612 (or 231598 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 2214205153200 in words is "two trillion, two hundred fourteen billion, two hundred five million, one hundred fifty-three thousand, two hundred".