2256115200 has 240 divisors, whose sum is σ = 7640042256. Its totient is φ = 586547200.

The previous prime is 2256115189. The next prime is 2256115243. The reversal of 2256115200 is 25116522.

It is a happy number.

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 (24).

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, 1573684 + ... + 1575116.

Almost surely, 2^2256115200 is an apocalyptic number.

2256115200 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 2256115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820021128).

2256115200 is an abundant number, since it is smaller than the sum of its proper divisors (5383927056).

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

2256115200 is a wasteful number, since it uses less digits than its factorization.

2256115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2256115200 is about 47498.5810314371. The cubic root of 2256115200 is about 1311.5567608444.

The spelling of 2256115200 in words is "two billion, two hundred fifty-six million, one hundred fifteen thousand, two hundred".