2958344820 has 72 divisors (see below), whose sum is σ = 9004433256. Its totient is φ = 786185472.

The previous prime is 2958344819. The next prime is 2958344827. The reversal of 2958344820 is 284438592.

2958344820 is a `hidden beast` number, since 2 + 9 + 583 + 4 + 48 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 557148816 + 2401196004 = 23604^2 + 49002^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958344827) 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 23 ways as a sum of consecutive naturals, for example, 24694 + ... + 80786.

It is an arithmetic number, because the mean of its divisors is an integer number (125061573).

Almost surely, 2^2958344820 is an apocalyptic number.

2958344820 is a gapful number since it is divisible by the number (20) 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 2958344820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502216628).

2958344820 is an abundant number, since it is smaller than the sum of its proper divisors (6046088436).

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

2958344820 is a wasteful number, since it uses less digits than its factorization.

2958344820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56401 (or 56396 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2958344820 is about 54390.6685011317. The cubic root of 2958344820 is about 1435.5431937758.

The spelling of 2958344820 in words is "two billion, nine hundred fifty-eight million, three hundred forty-four thousand, eight hundred twenty".