2253629568 has 128 divisors (see below), whose sum is σ = 6217136640. Its totient is φ = 723287040.

The previous prime is 2253629563. The next prime is 2253629579. The reversal of 2253629568 is 8659263522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253629561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11439646 + ... + 11439842.

It is an arithmetic number, because the mean of its divisors is an integer number (48571380).

Almost surely, 2^2253629568 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 2253629568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108568320).

2253629568 is an abundant number, since it is smaller than the sum of its proper divisors (3963507072).

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

2253629568 is an frugal number, since it uses more digits than its factorization.

2253629568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 233 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 2253629568 is about 47472.4084916702. The cubic root of 2253629568 is about 1311.0749229460.

The spelling of 2253629568 in words is "two billion, two hundred fifty-three million, six hundred twenty-nine thousand, five hundred sixty-eight".