2659776080 has 160 divisors (see below), whose sum is σ = 6896954400. Its totient is φ = 953192448.

The previous prime is 2659776059. The next prime is 2659776083. The reversal of 2659776080 is 806779562.

It can be written as a sum of positive squares in 16 ways, for example, as 1812034624 + 847741456 = 42568^2 + 29116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2659776083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6502916 + ... + 6503324.

It is an arithmetic number, because the mean of its divisors is an integer number (43105965).

Almost surely, 2^2659776080 is an apocalyptic number.

2659776080 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 2659776080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448477200).

2659776080 is an abundant number, since it is smaller than the sum of its proper divisors (4237178320).

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

2659776080 is a wasteful number, since it uses less digits than its factorization.

2659776080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 2659776080 is about 51573.0169759342. The cubic root of 2659776080 is about 1385.5271019550.

The spelling of 2659776080 in words is "two billion, six hundred fifty-nine million, seven hundred seventy-six thousand, eighty".