2593793664 has 672 divisors, whose sum is σ = 10194279840. Its totient is φ = 638254080.

The previous prime is 2593793633. The next prime is 2593793681. The reversal of 2593793664 is 4663973952.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7348320) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2593793664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 136515447 + ... + 136515465.

Almost surely, 2^2593793664 is an apocalyptic number.

2593793664 is a gapful number since it is divisible by the number (24) 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 2593793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097139920).

2593793664 is an abundant number, since it is smaller than the sum of its proper divisors (7600486176).

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

2593793664 is an equidigital number, since it uses as much as digits as its factorization.

2593793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 2593793664 is about 50929.3006431465. The cubic root of 2593793664 is about 1373.9738749061.

The spelling of 2593793664 in words is "two billion, five hundred ninety-three million, seven hundred ninety-three thousand, six hundred sixty-four".