2254632229344 has 384 divisors, whose sum is σ = 6974263296000. Its totient is φ = 630366105600.

The previous prime is 2254632229331. The next prime is 2254632229349. The reversal of 2254632229344 is 4439222364522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2254632229293 and 2254632229302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254632229349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542107137 + ... + 542111295.

It is an arithmetic number, because the mean of its divisors is an integer number (18162144000).

Almost surely, 2^{2254632229344} is an apocalyptic number.

2254632229344 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 2254632229344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487131648000).

2254632229344 is an abundant number, since it is smaller than the sum of its proper divisors (4719631066656).

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

2254632229344 is a wasteful number, since it uses less digits than its factorization.

2254632229344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4894 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 48.

The spelling of 2254632229344 in words is "two trillion, two hundred fifty-four billion, six hundred thirty-two million, two hundred twenty-nine thousand, three hundred forty-four".