2185250011200 has 252 divisors, whose sum is σ = 8054558694000. Its totient is φ = 582733232640.

The previous prime is 2185250011199. The next prime is 2185250011237. The reversal of 2185250011200 is 21100525812.

It is a happy number.

2185250011200 is a `hidden beast` number, since 2 + 18 + 525 + 0 + 0 + 1 + 120 + 0 = 666.

It is a super-2 number, since 2×2185250011200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2421450 + ... + 3199049.

It is an arithmetic number, because the mean of its divisors is an integer number (31962534500).

Almost surely, 2^{2185250011200} is an apocalyptic number.

2185250011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2185250011200 is an abundant number, since it is smaller than the sum of its proper divisors (5869308682800).

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

2185250011200 is an equidigital number, since it uses as much as digits as its factorization.

2185250011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620536 (or 5620509 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 2185250011200 in words is "two trillion, one hundred eighty-five billion, two hundred fifty million, eleven thousand, two hundred".