2958167968 has 96 divisors (see below), whose sum is σ = 7032614400. Its totient is φ = 1197901824.

The previous prime is 2958167951. The next prime is 2958168013. The reversal of 2958167968 is 8697618592.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300468 + ... + 310156.

It is an arithmetic number, because the mean of its divisors is an integer number (73256400).

Almost surely, 2^2958167968 is an apocalyptic number.

2958167968 is a gapful number since it is divisible by the number (28) 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 2958167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516307200).

2958167968 is an abundant number, since it is smaller than the sum of its proper divisors (4074446432).

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

2958167968 is a wasteful number, since it uses less digits than its factorization.

2958167968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9774 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 61.

The square root of 2958167968 is about 54389.0427200185. The cubic root of 2958167968 is about 1435.5145872678.

The spelling of 2958167968 in words is "two billion, nine hundred fifty-eight million, one hundred sixty-seven thousand, nine hundred sixty-eight".