2254344240000 has 320 divisors, whose sum is σ = 7556899830480. Its totient is φ = 595200000000.

The previous prime is 2254344239989. The next prime is 2254344240041. The reversal of 2254344240000 is 424434522.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2254344240000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24193500 + ... + 24286500.

Almost surely, 2^{2254344240000} is an apocalyptic number.

2254344240000 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 2254344240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778449915240).

2254344240000 is an abundant number, since it is smaller than the sum of its proper divisors (5302555590480).

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

2254344240000 is an equidigital number, since it uses as much as digits as its factorization.

2254344240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93139 (or 93112 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 2254344240000 its reverse (424434522), we get a palindrome (2254768674522).

The spelling of 2254344240000 in words is "two trillion, two hundred fifty-four billion, three hundred forty-four million, two hundred forty thousand".