2964000000 has 504 divisors, whose sum is σ = 11177981920. Its totient is φ = 691200000.

The previous prime is 2963999957. The next prime is 2964000043. The reversal of 2964000000 is 4692.

It is an interprime number because it is at equal distance from previous prime (2963999957) and next prime (2964000043).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 155999991 + ... + 156000009.

Almost surely, 2^2964000000 is an apocalyptic number.

2964000000 is a gapful number since it is divisible by the number (20) 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 2964000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588990960).

2964000000 is an abundant number, since it is smaller than the sum of its proper divisors (8213981920).

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

2964000000 is an frugal number, since it uses more digits than its factorization.

2964000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2964000000 is about 54442.6303552648. The cubic root of 2964000000 is about 1436.4573409514.

Adding to 2964000000 its reverse (4692), we get a palindrome (2964004692).

The spelling of 2964000000 in words is "two billion, nine hundred sixty-four million", and thus it is an aban number.