2559068512 has 288 divisors, whose sum is σ = 7015032864. Its totient is φ = 903168000.

The previous prime is 2559068471. The next prime is 2559068513. The reversal of 2559068512 is 2158609552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559068513) 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, 22646568 + ... + 22646680.

It is an arithmetic number, because the mean of its divisors is an integer number (24357753).

Almost surely, 2^2559068512 is an apocalyptic number.

2559068512 is a gapful number since it is divisible by the number (22) 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 2559068512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507516432).

2559068512 is an abundant number, since it is smaller than the sum of its proper divisors (4455964352).

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

2559068512 is a wasteful number, since it uses less digits than its factorization.

2559068512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 2559068512 is about 50587.2366511554. The cubic root of 2559068512 is about 1367.8148182473.

The spelling of 2559068512 in words is "two billion, five hundred fifty-nine million, sixty-eight thousand, five hundred twelve".