2959799360 has 112 divisors (see below), whose sum is σ = 8071104000. Its totient is φ = 1012746240.

The previous prime is 2959799357. The next prime is 2959799371. The reversal of 2959799360 is 639979592.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2959799360.

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 15 ways as a sum of consecutive naturals, for example, 1479641 + ... + 1481639.

Almost surely, 2^2959799360 is an apocalyptic number.

2959799360 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 2959799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035552000).

2959799360 is an abundant number, since it is smaller than the sum of its proper divisors (5111304640).

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

2959799360 is a wasteful number, since it uses less digits than its factorization.

2959799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 8266860, while the sum is 59.

The square root of 2959799360 is about 54404.0380854216. The cubic root of 2959799360 is about 1435.7784281161.

The spelling of 2959799360 in words is "two billion, nine hundred fifty-nine million, seven hundred ninety-nine thousand, three hundred sixty".