2568384000 has 960 divisors, whose sum is σ = 11618006400. Its totient is φ = 541900800.

The previous prime is 2568383989. The next prime is 2568384011. The reversal of 2568384000 is 4838652.

It is an interprime number because it is at equal distance from previous prime (2568383989) and next prime (2568384011).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197567994 + ... + 197568006.

It is an arithmetic number, because the mean of its divisors is an integer number (12102090).

Almost surely, 2^2568384000 is an apocalyptic number.

2568384000 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 2568384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809003200).

2568384000 is an abundant number, since it is smaller than the sum of its proper divisors (9049622400).

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

2568384000 is an equidigital number, since it uses as much as digits as its factorization.

2568384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2568384000 is about 50679.2265134345. The cubic root of 2568384000 is about 1369.4725090224.

The spelling of 2568384000 in words is "two billion, five hundred sixty-eight million, three hundred eighty-four thousand".