2246302800 has 480 divisors, whose sum is σ = 9363368960. Its totient is φ = 500774400.

The previous prime is 2246302781. The next prime is 2246302801. The reversal of 2246302800 is 82036422.

2246302800 is a `hidden beast` number, since 2 + 2 + 4 + 630 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246302801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3250455 + ... + 3251145.

Almost surely, 2^2246302800 is an apocalyptic number.

2246302800 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 2246302800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681684480).

2246302800 is an abundant number, since it is smaller than the sum of its proper divisors (7117066160).

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

2246302800 is a wasteful number, since it uses less digits than its factorization.

2246302800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2246302800 is about 47395.1769698141. The cubic root of 2246302800 is about 1309.6525699087.

The spelling of 2246302800 in words is "two billion, two hundred forty-six million, three hundred two thousand, eight hundred".