2593334016 has 864 divisors, whose sum is σ = 10439116800. Its totient is φ = 627056640.

The previous prime is 2593334011. The next prime is 2593334017. The reversal of 2593334016 is 6104333952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (2593334011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83655921 + ... + 83655951.

Almost surely, 2^2593334016 is an apocalyptic number.

2593334016 is a gapful number since it is divisible by the number (26) 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 2593334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219558400).

2593334016 is an abundant number, since it is smaller than the sum of its proper divisors (7845782784).

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

2593334016 is a wasteful number, since it uses less digits than its factorization.

2593334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2593334016 is about 50924.7878346096. The cubic root of 2593334016 is about 1373.8927091524.

Adding to 2593334016 its reverse (6104333952), we get a palindrome (8697667968).

The spelling of 2593334016 in words is "two billion, five hundred ninety-three million, three hundred thirty-four thousand, sixteen".