2249728800 has 432 divisors, whose sum is σ = 8245472256. Its totient is φ = 532224000.

The previous prime is 2249728769. The next prime is 2249728829. The reversal of 2249728800 is 88279422.

It is a super-2 number, since 2×2249728800² = 10122559347098880000, which contains 22 as substring.

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, 17714337 + ... + 17714463.

Almost surely, 2^2249728800 is an apocalyptic number.

2249728800 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 2249728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122736128).

2249728800 is an abundant number, since it is smaller than the sum of its proper divisors (5995743456).

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

2249728800 is a wasteful number, since it uses less digits than its factorization.

2249728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2249728800 is about 47431.3061173736. The cubic root of 2249728800 is about 1310.3180472064.

The spelling of 2249728800 in words is "two billion, two hundred forty-nine million, seven hundred twenty-eight thousand, eight hundred".