2253657600 has 240 divisors, whose sum is σ = 8273287440. Its totient is φ = 600883200.

The previous prime is 2253657559. The next prime is 2253657617. The reversal of 2253657600 is 67563522.

It is a happy number.

2253657600 is a `hidden beast` number, since 225 + 365 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342340 + ... + 348860.

It is an arithmetic number, because the mean of its divisors is an integer number (34472031).

Almost surely, 2^2253657600 is an apocalyptic number.

2253657600 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 2253657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136643720).

2253657600 is an abundant number, since it is smaller than the sum of its proper divisors (6019629840).

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

2253657600 is an equidigital number, since it uses as much as digits as its factorization.

2253657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2253657600 is about 47472.7037359365. The cubic root of 2253657600 is about 1311.0803589029.

The spelling of 2253657600 in words is "two billion, two hundred fifty-three million, six hundred fifty-seven thousand, six hundred".