2093445345600 has 840 divisors, whose sum is σ = 8903192272320. Its totient is φ = 478478085120.

The previous prime is 2093445345583. The next prime is 2093445345643. The reversal of 2093445345600 is 65435443902.

2093445345600 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 4 + 4 + 5 + 34 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 103713109 + ... + 103733291.

Almost surely, 2^{2093445345600} is an apocalyptic number.

2093445345600 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 2093445345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451596136160).

2093445345600 is an abundant number, since it is smaller than the sum of its proper divisors (6809746926720).

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

2093445345600 is an equidigital number, since it uses as much as digits as its factorization.

2093445345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2093445345600 in words is "two trillion, ninety-three billion, four hundred forty-five million, three hundred forty-five thousand, six hundred".