2253272128 has 56 divisors (see below), whose sum is σ = 4545665280. Its totient is φ = 1108024320.

The previous prime is 2253272113. The next prime is 2253272129. The reversal of 2253272128 is 8212723522.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2253272093 and 2253272102.

It is not an unprimeable number, because it can be changed into a prime (2253272129) 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 7 ways as a sum of consecutive naturals, for example, 1571700 + ... + 1573132.

Almost surely, 2^2253272128 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 2253272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272832640).

2253272128 is an abundant number, since it is smaller than the sum of its proper divisors (2292393152).

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

2253272128 is a wasteful number, since it uses less digits than its factorization.

2253272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1825 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 2253272128 is about 47468.6436292422. The cubic root of 2253272128 is about 1311.0056043373.

The spelling of 2253272128 in words is "two billion, two hundred fifty-three million, two hundred seventy-two thousand, one hundred twenty-eight".