2246400000 has 576 divisors, whose sum is σ = 8957239200. Its totient is φ = 552960000.

The previous prime is 2246399993. The next prime is 2246400031. The reversal of 2246400000 is 46422.

2246400000 is a `hidden beast` number, since 2 + 24 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172799994 + ... + 172800006.

Almost surely, 2^2246400000 is an apocalyptic number.

2246400000 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 2246400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478619600).

2246400000 is an abundant number, since it is smaller than the sum of its proper divisors (6710839200).

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

2246400000 is an frugal number, since it uses more digits than its factorization.

2246400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2246400000 is about 47396.2023795156. The cubic root of 2246400000 is about 1309.6714596733.

Adding to 2246400000 its reverse (46422), we get a palindrome (2246446422).

The spelling of 2246400000 in words is "two billion, two hundred forty-six million, four hundred thousand".