2195251200 has 336 divisors, whose sum is σ = 8085338160. Its totient is φ = 583925760.

The previous prime is 2195251159. The next prime is 2195251217. The reversal of 2195251200 is 21525912.

2195251200 is a `hidden beast` number, since 2 + 19 + 525 + 120 + 0 = 666.

It is a super-2 number, since 2×2195251200² = 9638255662202880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529402 + ... + 5529798.

Almost surely, 2^2195251200 is an apocalyptic number.

2195251200 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 2195251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042669080).

2195251200 is an abundant number, since it is smaller than the sum of its proper divisors (5890086960).

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

2195251200 is an equidigital number, since it uses as much as digits as its factorization.

2195251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2195251200 is about 46853.5078729437. The cubic root of 2195251200 is about 1299.6549774720.

The spelling of 2195251200 in words is "two billion, one hundred ninety-five million, two hundred fifty-one thousand, two hundred".