2254505242314 has 96 divisors (see below), whose sum is σ = 4952371415040. Its totient is φ = 683841989376.

The previous prime is 2254505242309. The next prime is 2254505242321. The reversal of 2254505242314 is 4132425054522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20162392 + ... + 20273900.

It is an arithmetic number, because the mean of its divisors is an integer number (51587202240).

Almost surely, 2^{2254505242314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254505242314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476185707520).

2254505242314 is an abundant number, since it is smaller than the sum of its proper divisors (2697866172726).

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

2254505242314 is a wasteful number, since it uses less digits than its factorization.

2254505242314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111824 (or 111811 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 2254505242314 in words is "two trillion, two hundred fifty-four billion, five hundred five million, two hundred forty-two thousand, three hundred fourteen".