2593319040 has 384 divisors, whose sum is σ = 9824068800. Its totient is φ = 626466816.

The previous prime is 2593319021. The next prime is 2593319041. The reversal of 2593319040 is 409133952.

It is a happy number.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2593318986 and 2593319004.

It is not an unprimeable number, because it can be changed into a prime (2593319041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4417627 + ... + 4418213.

Almost surely, 2^2593319040 is an apocalyptic number.

2593319040 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 2593319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912034400).

2593319040 is an abundant number, since it is smaller than the sum of its proper divisors (7230749760).

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

2593319040 is a wasteful number, since it uses less digits than its factorization.

2593319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2593319040 is about 50924.6407940203. The cubic root of 2593319040 is about 1373.8900644929.

The spelling of 2593319040 in words is "two billion, five hundred ninety-three million, three hundred nineteen thousand, forty".