2191987200 has 240 divisors, whose sum is σ = 7799875776. Its totient is φ = 539443200.

The previous prime is 2191987169. The next prime is 2191987229. The reversal of 2191987200 is 27891912.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 497005 + ... + 501395.

Almost surely, 2^2191987200 is an apocalyptic number.

2191987200 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 2191987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899937888).

2191987200 is an abundant number, since it is smaller than the sum of its proper divisors (5607888576).

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

2191987200 is a wasteful number, since it uses less digits than its factorization.

2191987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 2191987200 is about 46818.6629454537. The cubic root of 2191987200 is about 1299.0105291250.

The spelling of 2191987200 in words is "two billion, one hundred ninety-one million, nine hundred eighty-seven thousand, two hundred".