2958640668 has 168 divisors, whose sum is σ = 8180449200. Its totient is φ = 934488576.

The previous prime is 2958640667. The next prime is 2958640669. The reversal of 2958640668 is 8660468592.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2958640667) and next prime (2958640669).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958640667) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 4988980 + ... + 4989572.

It is an arithmetic number, because the mean of its divisors is an integer number (48693150).

Almost surely, 2^2958640668 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 2958640668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090224600).

2958640668 is an abundant number, since it is smaller than the sum of its proper divisors (5221808532).

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

2958640668 is a wasteful number, since it uses less digits than its factorization.

2958640668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2958640668 is about 54393.3880908332. The cubic root of 2958640668 is about 1435.5910458070.

The spelling of 2958640668 in words is "two billion, nine hundred fifty-eight million, six hundred forty thousand, six hundred sixty-eight".