2191040590200 has 3072 divisors, whose sum is σ = 10043357184000. Its totient is φ = 380878848000.

The previous prime is 2191040590177. The next prime is 2191040590223. The reversal of 2191040590200 is 20950401912.

It is an interprime number because it is at equal distance from previous prime (2191040590177) and next prime (2191040590223).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 26398079359 + ... + 26398079441.

It is an arithmetic number, because the mean of its divisors is an integer number (3269322000).

Almost surely, 2^{2191040590200} is an apocalyptic number.

2191040590200 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 2191040590200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021678592000).

2191040590200 is an abundant number, since it is smaller than the sum of its proper divisors (7852316593800).

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

2191040590200 is a wasteful number, since it uses less digits than its factorization.

2191040590200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 2191040590200 in words is "two trillion, one hundred ninety-one billion, forty million, five hundred ninety thousand, two hundred".