2959634960 has 80 divisors (see below), whose sum is σ = 7110390144. Its totient is φ = 1144958976.

The previous prime is 2959634947. The next prime is 2959634969. The reversal of 2959634960 is 694369592.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2959634969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350144 + ... + 358496.

Almost surely, 2^2959634960 is an apocalyptic number.

2959634960 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 2959634960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555195072).

2959634960 is an abundant number, since it is smaller than the sum of its proper divisors (4150755184).

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

2959634960 is a wasteful number, since it uses less digits than its factorization.

2959634960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 53.

The square root of 2959634960 is about 54402.5271471832. The cubic root of 2959634960 is about 1435.7518445187.

The spelling of 2959634960 in words is "two billion, nine hundred fifty-nine million, six hundred thirty-four thousand, nine hundred sixty".