2560296960 has 288 divisors, whose sum is σ = 9560580120. Its totient is φ = 629932032.

The previous prime is 2560296919. The next prime is 2560296971. The reversal of 2560296960 is 696920652.

2560296960 is a `hidden beast` number, since 2 + 560 + 29 + 6 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 879952896 + 1680344064 = 29664^2 + 40992^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197012 + ... + 1199148.

Almost surely, 2^2560296960 is an apocalyptic number.

2560296960 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 2560296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780290060).

2560296960 is an abundant number, since it is smaller than the sum of its proper divisors (7000283160).

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

2560296960 is a wasteful number, since it uses less digits than its factorization.

2560296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2560296960 is about 50599.3770712644. The cubic root of 2560296960 is about 1368.0336505522.

The spelling of 2560296960 in words is "two billion, five hundred sixty million, two hundred ninety-six thousand, nine hundred sixty".