2252451516 has 192 divisors, whose sum is σ = 6618931200. Its totient is φ = 581492736.

The previous prime is 2252451497. The next prime is 2252451517. The reversal of 2252451516 is 6151542522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252451517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4702165 + ... + 4702643.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^2252451516 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 2252451516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309465600).

2252451516 is an abundant number, since it is smaller than the sum of its proper divisors (4366479684).

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

2252451516 is a wasteful number, since it uses less digits than its factorization.

2252451516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 634 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 2252451516 is about 47459.9991150442. Note that the first 3 decimals coincide. The cubic root of 2252451516 is about 1310.8464346946.

The spelling of 2252451516 in words is "two billion, two hundred fifty-two million, four hundred fifty-one thousand, five hundred sixteen".