2093308800 has 384 divisors, whose sum is σ = 7713256320. Its totient is φ = 494592000.

The previous prime is 2093308783. The next prime is 2093308813. The reversal of 2093308800 is 88033902.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4540570 + ... + 4541030.

It is an arithmetic number, because the mean of its divisors is an integer number (20086605).

Almost surely, 2^2093308800 is an apocalyptic number.

2093308800 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 2093308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856628160).

2093308800 is an abundant number, since it is smaller than the sum of its proper divisors (5619947520).

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

2093308800 is a wasteful number, since it uses less digits than its factorization.

2093308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2093308800 is about 45752.6917240942. The cubic root of 2093308800 is about 1279.2176208392.

It can be divided in two parts, 209330 and 8800, that added together give a triangular number (218130 = T₆₆₀).

The spelling of 2093308800 in words is "two billion, ninety-three million, three hundred eight thousand, eight hundred".