2249904384000 has 3072 divisors, whose sum is σ = 10589080320000. Its totient is φ = 468202291200.

The previous prime is 2249904383999. The next prime is 2249904384017. The reversal of 2249904384000 is 4834099422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 30820607964 + ... + 30820608036.

It is an arithmetic number, because the mean of its divisors is an integer number (3446966250).

Almost surely, 2^{2249904384000} is an apocalyptic number.

2249904384000 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 2249904384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294540160000).

2249904384000 is an abundant number, since it is smaller than the sum of its proper divisors (8339175936000).

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

2249904384000 is an equidigital number, since it uses as much as digits as its factorization.

2249904384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2249904384000 in words is "two trillion, two hundred forty-nine billion, nine hundred four million, three hundred eighty-four thousand".