2093938560 has 384 divisors, whose sum is σ = 8630301600. Its totient is φ = 478420992.

The previous prime is 2093938559. The next prime is 2093938577. The reversal of 2093938560 is 658393902.

2093938560 is a `hidden beast` number, since 20 + 9 + 39 + 38 + 560 = 666.

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 (45).

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, 845484 + ... + 847956.

Almost surely, 2^2093938560 is an apocalyptic number.

2093938560 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 2093938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315150800).

2093938560 is an abundant number, since it is smaller than the sum of its proper divisors (6536363040).

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

2093938560 is a wasteful number, since it uses less digits than its factorization.

2093938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2490 counting only the distinct ones).

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

The square root of 2093938560 is about 45759.5734245852. The cubic root of 2093938560 is about 1279.3458897495.

The spelling of 2093938560 in words is "two billion, ninety-three million, nine hundred thirty-eight thousand, five hundred sixty".