2253264440 has 64 divisors (see below), whose sum is σ = 5806080000. Its totient is φ = 770951808.

The previous prime is 2253264427. The next prime is 2253264469. The reversal of 2253264440 is 444623522.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2253264397 and 2253264406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 131657 + ... + 147783.

It is an arithmetic number, because the mean of its divisors is an integer number (90720000).

Almost surely, 2^2253264440 is an apocalyptic number.

2253264440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253264440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040000).

2253264440 is an abundant number, since it is smaller than the sum of its proper divisors (3552815560).

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

2253264440 is a wasteful number, since it uses less digits than its factorization.

2253264440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 2253264440 is about 47468.5626493999. The cubic root of 2253264440 is about 1311.0041133171.

Adding to 2253264440 its reverse (444623522), we get a palindrome (2697887962).

The spelling of 2253264440 in words is "two billion, two hundred fifty-three million, two hundred sixty-four thousand, four hundred forty".