2228578800 has 360 divisors, whose sum is σ = 8392712832. Its totient is φ = 504000000.

The previous prime is 2228578771. The next prime is 2228578823. The reversal of 2228578800 is 88758222.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8878675 + ... + 8878925.

Almost surely, 2^2228578800 is an apocalyptic number.

2228578800 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 2228578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196356416).

2228578800 is an abundant number, since it is smaller than the sum of its proper divisors (6164134032).

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

2228578800 is a wasteful number, since it uses less digits than its factorization.

2228578800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 2228578800 is about 47207.8256224537. The cubic root of 2228578800 is about 1306.1989539205.

The spelling of 2228578800 in words is "two billion, two hundred twenty-eight million, five hundred seventy-eight thousand, eight hundred".