2984428800 has 648 divisors, whose sum is σ = 11762892960. Its totient is φ = 746496000.

The previous prime is 2984428789. The next prime is 2984428861. The reversal of 2984428800 is 88244892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29548750 + ... + 29548850.

Almost surely, 2^2984428800 is an apocalyptic number.

2984428800 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 2984428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881446480).

2984428800 is an abundant number, since it is smaller than the sum of its proper divisors (8778464160).

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

2984428800 is a wasteful number, since it uses less digits than its factorization.

2984428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2984428800 is about 54629.9258648591. The cubic root of 2984428800 is about 1439.7499565847.

The spelling of 2984428800 in words is "two billion, nine hundred eighty-four million, four hundred twenty-eight thousand, eight hundred".