2221964595200 has 624 divisors, whose sum is σ = 6569444112000. Its totient is φ = 729305579520.

The previous prime is 2221964595181. The next prime is 2221964595217. The reversal of 2221964595200 is 25954691222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2889420416 + ... + 2889421184.

Almost surely, 2^{2221964595200} is an apocalyptic number.

2221964595200 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 2221964595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284722056000).

2221964595200 is an abundant number, since it is smaller than the sum of its proper divisors (4347479516800).

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

2221964595200 is a wasteful number, since it uses less digits than its factorization.

2221964595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 2221964595200 in words is "two trillion, two hundred twenty-one billion, nine hundred sixty-four million, five hundred ninety-five thousand, two hundred".