2284879800 has 576 divisors, whose sum is σ = 8956569600. Its totient is φ = 479001600.

The previous prime is 2284879799. The next prime is 2284879837. The reversal of 2284879800 is 89784822.

It is a self number, because there is not a number n which added to its sum of digits gives 2284879800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20962146 + ... + 20962254.

It is an arithmetic number, because the mean of its divisors is an integer number (15549600).

Almost surely, 2^2284879800 is an apocalyptic number.

2284879800 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 2284879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478284800).

2284879800 is an abundant number, since it is smaller than the sum of its proper divisors (6671689800).

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

2284879800 is a wasteful number, since it uses less digits than its factorization.

2284879800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2284879800 is about 47800.4163161787. The cubic root of 2284879800 is about 1317.1071865366.

The spelling of 2284879800 in words is "two billion, two hundred eighty-four million, eight hundred seventy-nine thousand, eight hundred".