2246400384 has 128 divisors (see below), whose sum is σ = 6106030080. Its totient is φ = 731566080.

The previous prime is 2246400379. The next prime is 2246400433. The reversal of 2246400384 is 4830046422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3559749 + ... + 3560379.

It is an arithmetic number, because the mean of its divisors is an integer number (47703360).

Almost surely, 2^2246400384 is an apocalyptic number.

2246400384 is a gapful number since it is divisible by the number (24) 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 2246400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053015040).

2246400384 is an abundant number, since it is smaller than the sum of its proper divisors (3859629696).

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

2246400384 is a wasteful number, since it uses less digits than its factorization.

2246400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2246400384 is about 47396.2064304729. The cubic root of 2246400384 is about 1309.6715342985.

The spelling of 2246400384 in words is "two billion, two hundred forty-six million, four hundred thousand, three hundred eighty-four".