2560844160 has 320 divisors, whose sum is σ = 10453180320. Its totient is φ = 585252864.

The previous prime is 2560844119. The next prime is 2560844179. The reversal of 2560844160 is 614480652.

2560844160 is a `hidden beast` number, since 2 + 5 + 608 + 4 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2560844160³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359352 + ... + 366408.

Almost surely, 2^2560844160 is an apocalyptic number.

2560844160 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 2560844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5226590160).

2560844160 is an abundant number, since it is smaller than the sum of its proper divisors (7892336160).

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

2560844160 is an equidigital number, since it uses as much as digits as its factorization.

2560844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7074 counting only the distinct ones).

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

The square root of 2560844160 is about 50604.7839635740. The cubic root of 2560844160 is about 1368.1311047018.

The spelling of 2560844160 in words is "two billion, five hundred sixty million, eight hundred forty-four thousand, one hundred sixty".