2254136416 has 72 divisors (see below), whose sum is σ = 5247226656. Its totient is φ = 950181120.

The previous prime is 2254136407. The next prime is 2254136419. The reversal of 2254136416 is 6146314522.

It is a super-2 number, since 2×2254136416² = 10162261963874650112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254136419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 83865 + ... + 107431.

It is an arithmetic number, because the mean of its divisors is an integer number (72878148).

Almost surely, 2^2254136416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623613328).

2254136416 is an abundant number, since it is smaller than the sum of its proper divisors (2993090240).

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

2254136416 is a wasteful number, since it uses less digits than its factorization.

2254136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23652 (or 23637 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 2254136416 is about 47477.7465345608. The cubic root of 2254136416 is about 1311.1732037964.

The spelling of 2254136416 in words is "two billion, two hundred fifty-four million, one hundred thirty-six thousand, four hundred sixteen".