2964964608 has 144 divisors (see below), whose sum is σ = 8808004800. Its totient is φ = 983808000.

The previous prime is 2964964603. The next prime is 2964964609. The reversal of 2964964608 is 8064694692.

2964964608 is a `hidden beast` number, since 2 + 96 + 4 + 96 + 460 + 8 = 666.

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

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 (2964964603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734058 + ... + 1735766.

It is an arithmetic number, because the mean of its divisors is an integer number (61166700).

Almost surely, 2^2964964608 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 2964964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404002400).

2964964608 is an abundant number, since it is smaller than the sum of its proper divisors (5843040192).

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

2964964608 is a wasteful number, since it uses less digits than its factorization.

2964964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 2964964608 is about 54451.4885746937. The cubic root of 2964964608 is about 1436.6131515629.

The spelling of 2964964608 in words is "two billion, nine hundred sixty-four million, nine hundred sixty-four thousand, six hundred eight".