2093073772800 has 432 divisors, whose sum is σ = 7247422246400. Its totient is φ = 531283968000.

The previous prime is 2093073772789. The next prime is 2093073772903. The reversal of 2093073772800 is 82773703902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2093073772800.

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 47 ways as a sum of consecutive naturals, for example, 36278376 + ... + 36336024.

Almost surely, 2^{2093073772800} is an apocalyptic number.

2093073772800 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 2093073772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623711123200).

2093073772800 is an abundant number, since it is smaller than the sum of its proper divisors (5154348473600).

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

2093073772800 is a wasteful number, since it uses less digits than its factorization.

2093073772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57770 (or 57751 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 2093073772800 in words is "two trillion, ninety-three billion, seventy-three million, seven hundred seventy-two thousand, eight hundred".