2959911072 has 144 divisors (see below), whose sum is σ = 9242880192. Its totient is φ = 928558080.

The previous prime is 2959911061. The next prime is 2959911083. The reversal of 2959911072 is 2701199592.

It is an interprime number because it is at equal distance from previous prime (2959911061) and next prime (2959911083).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2959911072² = 17522147108296378368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120997 + ... + 143387.

It is an arithmetic number, because the mean of its divisors is an integer number (64186668).

Almost surely, 2^2959911072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2959911072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621440096).

2959911072 is an abundant number, since it is smaller than the sum of its proper divisors (6282969120).

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

2959911072 is a wasteful number, since it uses less digits than its factorization.

2959911072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22433 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 2959911072 is about 54405.0647642294. The cubic root of 2959911072 is about 1435.7964914646.

The spelling of 2959911072 in words is "two billion, nine hundred fifty-nine million, nine hundred eleven thousand, seventy-two".