2958296688 has 160 divisors (see below), whose sum is σ = 8644446720. Its totient is φ = 968509440.

The previous prime is 2958296669. The next prime is 2958296689. The reversal of 2958296688 is 8866928592.

Its product of digits (29859840) is a multiple of the sum of its prime divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958296689) 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 31 ways as a sum of consecutive naturals, for example, 9512053 + ... + 9512363.

It is an arithmetic number, because the mean of its divisors is an integer number (54027792).

Almost surely, 2^2958296688 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 2958296688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322223360).

2958296688 is an abundant number, since it is smaller than the sum of its proper divisors (5686150032).

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

2958296688 is a wasteful number, since it uses less digits than its factorization.

2958296688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 2958296688 is about 54390.2260337278. The cubic root of 2958296688 is about 1435.5354083480.

The spelling of 2958296688 in words is "two billion, nine hundred fifty-eight million, two hundred ninety-six thousand, six hundred eighty-eight".