2593768320 has 768 divisors, whose sum is σ = 10906721280. Its totient is φ = 559595520.

The previous prime is 2593768283. The next prime is 2593768321. The reversal of 2593768320 is 238673952.

2593768320 is a `hidden beast` number, since 259 + 3 + 76 + 8 + 320 = 666.

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 (2593768321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38712927 + ... + 38712993.

It is an arithmetic number, because the mean of its divisors is an integer number (14201460).

Almost surely, 2^2593768320 is an apocalyptic number.

2593768320 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 2593768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453360640).

2593768320 is an abundant number, since it is smaller than the sum of its proper divisors (8312952960).

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

2593768320 is a wasteful number, since it uses less digits than its factorization.

2593768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2593768320 is about 50929.0518270270. The cubic root of 2593768320 is about 1373.9693998512.

The spelling of 2593768320 in words is "two billion, five hundred ninety-three million, seven hundred sixty-eight thousand, three hundred twenty".