2093496364800 has 1728 divisors, whose sum is σ = 8493411942400. Its totient is φ = 502541107200.

The previous prime is 2093496364763. The next prime is 2093496364823. The reversal of 2093496364800 is 84636943902.

2093496364800 is a `hidden beast` number, since 2 + 0 + 93 + 49 + 6 + 36 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6819206247 + ... + 6819206553.

Almost surely, 2^{2093496364800} is an apocalyptic number.

2093496364800 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 2093496364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246705971200).

2093496364800 is an abundant number, since it is smaller than the sum of its proper divisors (6399915577600).

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

2093496364800 is a wasteful number, since it uses less digits than its factorization.

2093496364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2093496364800 in words is "two trillion, ninety-three billion, four hundred ninety-six million, three hundred sixty-four thousand, eight hundred".