2949024000 has 576 divisors, whose sum is σ = 11249521920. Its totient is φ = 678297600.

The previous prime is 2949023993. The next prime is 2949024031. The reversal of 2949024000 is 4209492.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21215931 + ... + 21216069.

It is an arithmetic number, because the mean of its divisors is an integer number (19530420).

Almost surely, 2^2949024000 is an apocalyptic number.

2949024000 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 2949024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624760960).

2949024000 is an abundant number, since it is smaller than the sum of its proper divisors (8300497920).

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

2949024000 is a wasteful number, since it uses less digits than its factorization.

2949024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2949024000 is about 54304.9169044572. The cubic root of 2949024000 is about 1434.0339582963.

The spelling of 2949024000 in words is "two billion, nine hundred forty-nine million, twenty-four thousand".