2246983200 has 864 divisors, whose sum is σ = 10366211520. Its totient is φ = 464486400.

The previous prime is 2246983171. The next prime is 2246983243. The reversal of 2246983200 is 23896422.

2246983200 is a `hidden beast` number, since 2 + 246 + 98 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11642304 + ... + 11642496.

It is an arithmetic number, because the mean of its divisors is an integer number (11997930).

Almost surely, 2^2246983200 is an apocalyptic number.

2246983200 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 2246983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183105760).

2246983200 is an abundant number, since it is smaller than the sum of its proper divisors (8119228320).

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

2246983200 is a wasteful number, since it uses less digits than its factorization.

2246983200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2246983200 is about 47402.3543719086. The cubic root of 2246983200 is about 1309.7847868200.

The spelling of 2246983200 in words is "two billion, two hundred forty-six million, nine hundred eighty-three thousand, two hundred".