2560038912 has 192 divisors, whose sum is σ = 7707772800. Its totient is φ = 839393280.

The previous prime is 2560038907. The next prime is 2560038973. The reversal of 2560038912 is 2198300652.

2560038912 is a `hidden beast` number, since 2 + 5 + 600 + 38 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2560038912³ (a number of 29 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3704487 + ... + 3705177.

It is an arithmetic number, because the mean of its divisors is an integer number (40144650).

Almost surely, 2^2560038912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853886400).

2560038912 is an abundant number, since it is smaller than the sum of its proper divisors (5147733888).

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

2560038912 is an equidigital number, since it uses as much as digits as its factorization.

2560038912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2560038912 is about 50596.8270941963. The cubic root of 2560038912 is about 1367.9876884087.

The spelling of 2560038912 in words is "two billion, five hundred sixty million, thirty-eight thousand, nine hundred twelve".