2560277760 has 288 divisors, whose sum is σ = 8591667840. Its totient is φ = 648904704.

The previous prime is 2560277747. The next prime is 2560277771. The reversal of 2560277760 is 677720652.

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 31 ways as a sum of consecutive naturals, for example, 9242742 + ... + 9243018.

It is an arithmetic number, because the mean of its divisors is an integer number (29832180).

Almost surely, 2^2560277760 is an apocalyptic number.

2560277760 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 2560277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295833920).

2560277760 is an abundant number, since it is smaller than the sum of its proper divisors (6031390080).

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

2560277760 is a wasteful number, since it uses less digits than its factorization.

2560277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 2560277760 is about 50599.1873452529. The cubic root of 2560277760 is about 1368.0302308562.

The spelling of 2560277760 in words is "two billion, five hundred sixty million, two hundred seventy-seven thousand, seven hundred sixty".