2093659680 has 288 divisors, whose sum is σ = 7739432064. Its totient is φ = 466034688.

The previous prime is 2093659661. The next prime is 2093659681. The reversal of 2093659680 is 869563902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2093659681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6212472 + ... + 6212808.

It is an arithmetic number, because the mean of its divisors is an integer number (26873028).

Almost surely, 2^2093659680 is an apocalyptic number.

2093659680 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 2093659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869716032).

2093659680 is an abundant number, since it is smaller than the sum of its proper divisors (5645772384).

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

2093659680 is a wasteful number, since it uses less digits than its factorization.

2093659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 2093659680 is about 45756.5260919139. The cubic root of 2093659680 is about 1279.2890909129.

The spelling of 2093659680 in words is "two billion, ninety-three million, six hundred fifty-nine thousand, six hundred eighty".