2964480000 has 280 divisors, whose sum is σ = 9929015448. Its totient is φ = 786432000.

The previous prime is 2964479993. The next prime is 2964480007. The reversal of 2964480000 is 844692.

It is an interprime number because it is at equal distance from previous prime (2964479993) and next prime (2964480007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2964480007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15359904 + ... + 15360096.

Almost surely, 2^2964480000 is an apocalyptic number.

2964480000 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 2964480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964507724).

2964480000 is an abundant number, since it is smaller than the sum of its proper divisors (6964535448).

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

2964480000 is an frugal number, since it uses more digits than its factorization.

2964480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2964480000 is about 54447.0384869554. The cubic root of 2964480000 is about 1436.5348783229.

The spelling of 2964480000 in words is "two billion, nine hundred sixty-four million, four hundred eighty thousand".