2659560960 has 320 divisors, whose sum is σ = 9888367104. Its totient is φ = 597196800.

The previous prime is 2659560947. The next prime is 2659560961. The reversal of 2659560960 is 690659562.

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

It is a super-2 number, since 2×2659560960² = 14146528999912243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2659560961) by changing a digit.

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, 3278955 + ... + 3279765.

Almost surely, 2^2659560960 is an apocalyptic number.

2659560960 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 2659560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944183552).

2659560960 is an abundant number, since it is smaller than the sum of its proper divisors (7228806144).

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

2659560960 is an equidigital number, since it uses as much as digits as its factorization.

2659560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The square root of 2659560960 is about 51570.9313470292. The cubic root of 2659560960 is about 1385.4897476043.

The spelling of 2659560960 in words is "two billion, six hundred fifty-nine million, five hundred sixty thousand, nine hundred sixty".