2964240000 has 480 divisors, whose sum is σ = 11184544800. Its totient is φ = 751872000.

The previous prime is 2964239983. The next prime is 2964240001. The reversal of 2964240000 is 424692.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964240001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16559911 + ... + 16560089.

It is an arithmetic number, because the mean of its divisors is an integer number (23301135).

Almost surely, 2^2964240000 is an apocalyptic number.

2964240000 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 2964240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592272400).

2964240000 is an abundant number, since it is smaller than the sum of its proper divisors (8220304800).

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

2964240000 is a wasteful number, since it uses less digits than its factorization.

2964240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2964240000 is about 54444.8344657232. The cubic root of 2964240000 is about 1436.4961106835.

Adding to 2964240000 its reverse (424692), we get a palindrome (2964664692).

The spelling of 2964240000 in words is "two billion, nine hundred sixty-four million, two hundred forty thousand".