2964307968 has 120 divisors (see below), whose sum is σ = 8784177360. Its totient is φ = 987955200.

The previous prime is 2964307963. The next prime is 2964307987. The reversal of 2964307968 is 8697034692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964307961) 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 7 ways as a sum of consecutive naturals, for example, 439018 + ... + 445718.

It is an arithmetic number, because the mean of its divisors is an integer number (73201478).

Almost surely, 2^2964307968 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 2964307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392088680).

2964307968 is an abundant number, since it is smaller than the sum of its proper divisors (5819869392).

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

2964307968 is an frugal number, since it uses more digits than its factorization.

2964307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2964307968 is about 54445.4586535920. The cubic root of 2964307968 is about 1436.5070898914.

The spelling of 2964307968 in words is "two billion, nine hundred sixty-four million, three hundred seven thousand, nine hundred sixty-eight".