2593468080 has 720 divisors, whose sum is σ = 11015053920. Its totient is φ = 543449088.

The previous prime is 2593468043. The next prime is 2593468139. The reversal of 2593468080 is 808643952.

2593468080 is a `hidden beast` number, since 25 + 93 + 468 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35526924 + ... + 35526996.

It is an arithmetic number, because the mean of its divisors is an integer number (15298686).

Almost surely, 2^2593468080 is an apocalyptic number.

2593468080 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 2593468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507526960).

2593468080 is an abundant number, since it is smaller than the sum of its proper divisors (8421585840).

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

2593468080 is a wasteful number, since it uses less digits than its factorization.

2593468080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2593468080 is about 50926.1041117421. The cubic root of 2593468080 is about 1373.9163834879.

The spelling of 2593468080 in words is "two billion, five hundred ninety-three million, four hundred sixty-eight thousand, eighty".