2964506688 has 672 divisors, whose sum is σ = 10934956032. Its totient is φ = 783820800.

The previous prime is 2964506663. The next prime is 2964506747. The reversal of 2964506688 is 8866054692.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 68941995 + ... + 68942037.

It is an arithmetic number, because the mean of its divisors is an integer number (16272256).

Almost surely, 2^2964506688 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 2964506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467478016).

2964506688 is an abundant number, since it is smaller than the sum of its proper divisors (7970449344).

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

2964506688 is a wasteful number, since it uses less digits than its factorization.

2964506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2964506688 is about 54447.2835686042. The cubic root of 2964506688 is about 1436.5391891551.

The spelling of 2964506688 in words is "two billion, nine hundred sixty-four million, five hundred six thousand, six hundred eighty-eight".