2193038848000 has 1248 divisors, whose sum is σ = 7423279194240. Its totient is φ = 629342208000.

The previous prime is 2193038847947. The next prime is 2193038848027. The reversal of 2193038848000 is 8488303912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5637631806 + ... + 5637632194.

It is an arithmetic number, because the mean of its divisors is an integer number (5948140380).

Almost surely, 2^{2193038848000} is an apocalyptic number.

2193038848000 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 2193038848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711639597120).

2193038848000 is an abundant number, since it is smaller than the sum of its proper divisors (5230240346240).

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

2193038848000 is a wasteful number, since it uses less digits than its factorization.

2193038848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 2193038848000 in words is "two trillion, one hundred ninety-three billion, thirty-eight million, eight hundred forty-eight thousand".