2963424000 has 144 divisors (see below), whose sum is σ = 9843331680. Its totient is φ = 790220800.

The previous prime is 2963423993. The next prime is 2963424001. The reversal of 2963424000 is 4243692.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2963424001) 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, 80566 + ... + 111434.

It is an arithmetic number, because the mean of its divisors is an integer number (68356470).

Almost surely, 2^2963424000 is an apocalyptic number.

2963424000 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 2963424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921665840).

2963424000 is an abundant number, since it is smaller than the sum of its proper divisors (6879907680).

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

2963424000 is an equidigital number, since it uses as much as digits as its factorization.

2963424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30903 (or 30879 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2963424000 is about 54437.3401260569. The cubic root of 2963424000 is about 1436.3642850550.

Adding to 2963424000 its reverse (4243692), we get a palindrome (2967667692).

The spelling of 2963424000 in words is "two billion, nine hundred sixty-three million, four hundred twenty-four thousand".