2846222400 has 672 divisors, whose sum is σ = 11610685440. Its totient is φ = 596090880.

The previous prime is 2846222341. The next prime is 2846222441. The reversal of 2846222400 is 42226482.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 22411137 + ... + 22411263.

Almost surely, 2^2846222400 is an apocalyptic number.

2846222400 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 2846222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805342720).

2846222400 is an abundant number, since it is smaller than the sum of its proper divisors (8764463040).

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

2846222400 is a wasteful number, since it uses less digits than its factorization.

2846222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2846222400 is about 53349.9990627929. Note that the first 3 decimals coincide. The cubic root of 2846222400 is about 1417.1732432103.

Adding to 2846222400 its reverse (42226482), we get a palindrome (2888448882).

The spelling of 2846222400 in words is "two billion, eight hundred forty-six million, two hundred twenty-two thousand, four hundred".