2254214368 has 96 divisors (see below), whose sum is σ = 5159718144. Its totient is φ = 949542912.

The previous prime is 2254214353. The next prime is 2254214401. The reversal of 2254214368 is 8634124522.

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, 3906496 + ... + 3907072.

It is an arithmetic number, because the mean of its divisors is an integer number (53747064).

Almost surely, 2^2254214368 is an apocalyptic number.

2254214368 is a gapful number since it is divisible by the number (28) 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 2254214368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579859072).

2254214368 is an abundant number, since it is smaller than the sum of its proper divisors (2905503776).

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

2254214368 is a wasteful number, since it uses less digits than its factorization.

2254214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 856 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

The square root of 2254214368 is about 47478.5674594337. The cubic root of 2254214368 is about 1311.1883178470.

The spelling of 2254214368 in words is "two billion, two hundred fifty-four million, two hundred fourteen thousand, three hundred sixty-eight".