2249530800 has 240 divisors, whose sum is σ = 7910767488. Its totient is φ = 541900800.

The previous prime is 2249530793. The next prime is 2249530813. The reversal of 2249530800 is 80359422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547159 + ... + 2548041.

Almost surely, 2^2249530800 is an apocalyptic number.

2249530800 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 2249530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955383744).

2249530800 is an abundant number, since it is smaller than the sum of its proper divisors (5661236688).

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

2249530800 is a wasteful number, since it uses less digits than its factorization.

2249530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2249530800 is about 47429.2188423971. The cubic root of 2249530800 is about 1310.2796054491.

The spelling of 2249530800 in words is "two billion, two hundred forty-nine million, five hundred thirty thousand, eight hundred".