2253216064 has 56 divisors (see below), whose sum is σ = 4883554368. Its totient is φ = 1022960640.

The previous prime is 2253216041. The next prime is 2253216067. The reversal of 2253216064 is 4606123522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253216067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 859684 + ... + 862300.

It is an arithmetic number, because the mean of its divisors is an integer number (87206328).

Almost surely, 2^2253216064 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 2253216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441777184).

2253216064 is an abundant number, since it is smaller than the sum of its proper divisors (2630338304).

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

2253216064 is a wasteful number, since it uses less digits than its factorization.

2253216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2253216064 is about 47468.0530883667. The cubic root of 2253216064 is about 1310.9947311384.

Adding to 2253216064 its reverse (4606123522), we get a palindrome (6859339586).

The spelling of 2253216064 in words is "two billion, two hundred fifty-three million, two hundred sixteen thousand, sixty-four".