2958840864 has 144 divisors (see below), whose sum is σ = 9876379968. Its totient is φ = 822514176.

The previous prime is 2958840811. The next prime is 2958840877. The reversal of 2958840864 is 4680488592.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2958840864.

It is an unprimeable number.

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, 54759 + ... + 94425.

It is an arithmetic number, because the mean of its divisors is an integer number (68585972).

Almost surely, 2^2958840864 is an apocalyptic number.

2958840864 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 2958840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938189984).

2958840864 is an abundant number, since it is smaller than the sum of its proper divisors (6917539104).

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

2958840864 is a wasteful number, since it uses less digits than its factorization.

2958840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39727 (or 39716 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2958840864 is about 54395.2283201385. The cubic root of 2958840864 is about 1435.6234247647.

The spelling of 2958840864 in words is "two billion, nine hundred fifty-eight million, eight hundred forty thousand, eight hundred sixty-four".