2253264000 has 512 divisors, whose sum is σ = 8447362560. Its totient is φ = 527155200.

The previous prime is 2253263959. The next prime is 2253264007. The reversal of 2253264000 is 4623522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2253264007) 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, 14351922 + ... + 14352078.

It is an arithmetic number, because the mean of its divisors is an integer number (16498755).

Almost surely, 2^2253264000 is an apocalyptic number.

2253264000 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 2253264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223681280).

2253264000 is an abundant number, since it is smaller than the sum of its proper divisors (6194098560).

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

2253264000 is a wasteful number, since it uses less digits than its factorization.

2253264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2253264000 is about 47468.5580147533. The cubic root of 2253264000 is about 1311.0040279829.

Adding to 2253264000 its reverse (4623522), we get a palindrome (2257887522).

The spelling of 2253264000 in words is "two billion, two hundred fifty-three million, two hundred sixty-four thousand".