2958263568 has 120 divisors (see below), whose sum is σ = 9440442648. Its totient is φ = 856682496.

The previous prime is 2958263549. The next prime is 2958263569. The reversal of 2958263568 is 8653628592.

2958263568 is a `hidden beast` number, since 2 + 9 + 58 + 26 + 3 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150111504 + 2808152064 = 12252^2 + 52992^2 .

It is not an unprimeable number, because it can be changed into a prime (2958263569) 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 23 ways as a sum of consecutive naturals, for example, 14655 + ... + 78302.

Almost surely, 2^2958263568 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 2958263568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720221324).

2958263568 is an abundant number, since it is smaller than the sum of its proper divisors (6482179080).

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

2958263568 is a wasteful number, since it uses less digits than its factorization.

2958263568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93001 (or 92992 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2958263568 is about 54389.9215664079. The cubic root of 2958263568 is about 1435.5300510861.

The spelling of 2958263568 in words is "two billion, nine hundred fifty-eight million, two hundred sixty-three thousand, five hundred sixty-eight".