2093395680 has 216 divisors, whose sum is σ = 7541358552. Its totient is φ = 528726528.

The previous prime is 2093395679. The next prime is 2093395687. The reversal of 2093395680 is 865933902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093395687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 517827 + ... + 521853.

It is an arithmetic number, because the mean of its divisors is an integer number (34913697).

Almost surely, 2^2093395680 is an apocalyptic number.

2093395680 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 2093395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770679276).

2093395680 is an abundant number, since it is smaller than the sum of its proper divisors (5447962872).

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

2093395680 is a wasteful number, since it uses less digits than its factorization.

2093395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2093395680 is about 45753.6411665782. The cubic root of 2093395680 is about 1279.2353180036.

The spelling of 2093395680 in words is "two billion, ninety-three million, three hundred ninety-five thousand, six hundred eighty".