2428904044800 has 648 divisors, whose sum is σ = 8776121453736. Its totient is φ = 640867368960.

The previous prime is 2428904044751. The next prime is 2428904044813. The reversal of 2428904044800 is 84404098242.

2428904044800 is a `hidden beast` number, since 2 + 42 + 8 + 90 + 40 + 4 + 480 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1173356902656 + 1255547142144 = 1083216^2 + 1120512^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3047558002 + ... + 3047558798.

Almost surely, 2^{2428904044800} is an apocalyptic number.

2428904044800 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 2428904044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388060726868).

2428904044800 is an abundant number, since it is smaller than the sum of its proper divisors (6347217408936).

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

2428904044800 is a wasteful number, since it uses less digits than its factorization.

2428904044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2428904044800 in words is "two trillion, four hundred twenty-eight billion, nine hundred four million, forty-four thousand, eight hundred".