2964735648 has 96 divisors (see below), whose sum is σ = 9882472320. Its totient is φ = 847065600.

The previous prime is 2964735637. The next prime is 2964735649. The reversal of 2964735648 is 8465374692.

2964735648 is a `hidden beast` number, since 2 + 9 + 6 + 4 + 73 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2964735594 and 2964735603.

It is not an unprimeable number, because it can be changed into a prime (2964735649) 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 15 ways as a sum of consecutive naturals, for example, 239053 + ... + 251148.

It is an arithmetic number, because the mean of its divisors is an integer number (102942420).

Almost surely, 2^2964735648 is an apocalyptic number.

2964735648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2964735648 is an abundant number, since it is smaller than the sum of its proper divisors (6917736672).

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

2964735648 is a wasteful number, since it uses less digits than its factorization.

2964735648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490227 (or 490213 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 2964735648 is about 54449.3861122419. The cubic root of 2964735648 is about 1436.5761713110.

The spelling of 2964735648 in words is "two billion, nine hundred sixty-four million, seven hundred thirty-five thousand, six hundred forty-eight".