2093454720 has 448 divisors, whose sum is σ = 8588881440. Its totient is φ = 477757440.

The previous prime is 2093454703. The next prime is 2093454721. The reversal of 2093454720 is 274543902.

2093454720 is a `hidden beast` number, since 2 + 0 + 93 + 4 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×2093454720³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093454721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265600 + ... + 3266240.

Almost surely, 2^2093454720 is an apocalyptic number.

2093454720 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 2093454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294440720).

2093454720 is an abundant number, since it is smaller than the sum of its proper divisors (6495426720).

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

2093454720 is an frugal number, since it uses more digits than its factorization.

2093454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2093454720 is about 45754.2863565808. The cubic root of 2093454720 is about 1279.2473439739.

The spelling of 2093454720 in words is "two billion, ninety-three million, four hundred fifty-four thousand, seven hundred twenty".