2560128000 has 352 divisors, whose sum is σ = 8736923520. Its totient is φ = 665190400.

The previous prime is 2560127923. The next prime is 2560128007. The reversal of 2560128000 is 8210652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560128007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22655944 + ... + 22656056.

Almost surely, 2^2560128000 is an apocalyptic number.

2560128000 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 2560128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368461760).

2560128000 is an abundant number, since it is smaller than the sum of its proper divisors (6176795520).

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

2560128000 is a wasteful number, since it uses less digits than its factorization.

2560128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2560128000 is about 50597.7074579471. The cubic root of 2560128000 is about 1368.0035566407.

Adding to 2560128000 its reverse (8210652), we get a palindrome (2568338652).

The spelling of 2560128000 in words is "two billion, five hundred sixty million, one hundred twenty-eight thousand".