2229679200 has 576 divisors, whose sum is σ = 9062419968. Its totient is φ = 464486400.

The previous prime is 2229679171. The next prime is 2229679211. The reversal of 2229679200 is 29769222.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10567095 + ... + 10567305.

It is an arithmetic number, because the mean of its divisors is an integer number (15733368).

Almost surely, 2^2229679200 is an apocalyptic number.

2229679200 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 2229679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531209984).

2229679200 is an abundant number, since it is smaller than the sum of its proper divisors (6832740768).

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

2229679200 is a wasteful number, since it uses less digits than its factorization.

2229679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2229679200 is about 47219.4790314336. The cubic root of 2229679200 is about 1306.4139047855.

The spelling of 2229679200 in words is "two billion, two hundred twenty-nine million, six hundred seventy-nine thousand, two hundred".