2428204800 has 648 divisors, whose sum is σ = 9751719600. Its totient is φ = 529858560.

The previous prime is 2428204777. The next prime is 2428204811. The reversal of 2428204800 is 84028242.

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

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, 27283156 + ... + 27283244.

It is an arithmetic number, because the mean of its divisors is an integer number (15048950).

Almost surely, 2^2428204800 is an apocalyptic number.

2428204800 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 2428204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875859800).

2428204800 is an abundant number, since it is smaller than the sum of its proper divisors (7323514800).

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

2428204800 is a wasteful number, since it uses less digits than its factorization.

2428204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2428204800 is about 49276.8180790927. The cubic root of 2428204800 is about 1344.0902717144.

The spelling of 2428204800 in words is "two billion, four hundred twenty-eight million, two hundred four thousand, eight hundred".