2959864992 has 432 divisors, whose sum is σ = 10484510400. Its totient is φ = 791513856.

The previous prime is 2959864991. The next prime is 2959865017. The reversal of 2959864992 is 2994689592.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2959864991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35660983 + ... + 35661065.

It is an arithmetic number, because the mean of its divisors is an integer number (24269700).

Almost surely, 2^2959864992 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 2959864992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242255200).

2959864992 is an abundant number, since it is smaller than the sum of its proper divisors (7524645408).

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

2959864992 is a wasteful number, since it uses less digits than its factorization.

2959864992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The square root of 2959864992 is about 54404.6412725973. The cubic root of 2959864992 is about 1435.7890405824.

The spelling of 2959864992 in words is "two billion, nine hundred fifty-nine million, eight hundred sixty-four thousand, nine hundred ninety-two".