2592368064 has 420 divisors, whose sum is σ = 9111401640. Its totient is φ = 722442240.

The previous prime is 2592368003. The next prime is 2592368071. The reversal of 2592368064 is 4608632952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9636922 + ... + 9637190.

Almost surely, 2^2592368064 is an apocalyptic number.

2592368064 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 2592368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555700820).

2592368064 is an abundant number, since it is smaller than the sum of its proper divisors (6519033576).

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

2592368064 is a wasteful number, since it uses less digits than its factorization.

2592368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2592368064 is about 50915.3028469830. The cubic root of 2592368064 is about 1373.7221077556.

The spelling of 2592368064 in words is "two billion, five hundred ninety-two million, three hundred sixty-eight thousand, sixty-four".