2560141080 has 384 divisors, whose sum is σ = 9963233280. Its totient is φ = 579156480.

The previous prime is 2560141049. The next prime is 2560141091. The reversal of 2560141080 is 801410652.

2560141080 is a `hidden beast` number, since 2 + 560 + 14 + 10 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12995542 + ... + 12995738.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^2560141080 is an apocalyptic number.

2560141080 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 2560141080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981616640).

2560141080 is an abundant number, since it is smaller than the sum of its proper divisors (7403092200).

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

2560141080 is a wasteful number, since it uses less digits than its factorization.

2560141080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2560141080 is about 50597.8367126501. The cubic root of 2560141080 is about 1368.0058864013.

The spelling of 2560141080 in words is "two billion, five hundred sixty million, one hundred forty-one thousand, eighty".