2958961824 has 324 divisors, whose sum is σ = 10624957434. Its totient is φ = 774240768.

The previous prime is 2958961823. The next prime is 2958961829. The reversal of 2958961824 is 4281698592.

It is a happy number.

2958961824 is a `hidden beast` number, since 29 + 589 + 6 + 18 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2845155600 + 113806224 = 53340^2 + 10668^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2958961823) 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 53 ways as a sum of consecutive naturals, for example, 23298849 + ... + 23298975.

Almost surely, 2^2958961824 is an apocalyptic number.

2958961824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2958961824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312478717).

2958961824 is an abundant number, since it is smaller than the sum of its proper divisors (7665995610).

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

2958961824 is a wasteful number, since it uses less digits than its factorization.

2958961824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 152 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 2958961824 is about 54396.3401710078. The cubic root of 2958961824 is about 1435.6429876781.

The spelling of 2958961824 in words is "two billion, nine hundred fifty-eight million, nine hundred sixty-one thousand, eight hundred twenty-four".