2093469840000 has 2560 divisors, whose sum is σ = 9892873267200. Its totient is φ = 423014400000.

The previous prime is 2093469839977. The next prime is 2093469840061. The reversal of 2093469840000 is 489643902.

2093469840000 is a `hidden beast` number, since 20 + 93 + 469 + 84 + 0 + 0 + 0 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 6819119847 + ... + 6819120153.

It is an arithmetic number, because the mean of its divisors is an integer number (3864403620).

Almost surely, 2^{2093469840000} is an apocalyptic number.

2093469840000 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 2093469840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946436633600).

2093469840000 is an abundant number, since it is smaller than the sum of its proper divisors (7799403427200).

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

2093469840000 is a wasteful number, since it uses less digits than its factorization.

2093469840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2093469840000 in words is "two trillion, ninety-three billion, four hundred sixty-nine million, eight hundred forty thousand".