2560761168 has 80 divisors (see below), whose sum is σ = 7714684800. Its totient is φ = 731641344.

The previous prime is 2560761167. The next prime is 2560761173. The reversal of 2560761168 is 8611670652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560761163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61305 + ... + 94232.

It is an arithmetic number, because the mean of its divisors is an integer number (96433560).

Almost surely, 2^2560761168 is an apocalyptic number.

2560761168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2560761168 is an abundant number, since it is smaller than the sum of its proper divisors (5153923632).

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

2560761168 is a wasteful number, since it uses less digits than its factorization.

2560761168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155569 (or 155549 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2560761168 is about 50603.9639554057. The cubic root of 2560761168 is about 1368.1163250489.

The spelling of 2560761168 in words is "two billion, five hundred sixty million, seven hundred sixty-one thousand, one hundred sixty-eight".