2256627600 has 450 divisors, whose sum is σ = 8638980614. Its totient is φ = 564019200.

The previous prime is 2256627599. The next prime is 2256627641. The reversal of 2256627600 is 67266522.

2256627600 is a `hidden beast` number, since 2 + 25 + 6 + 6 + 27 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 25765776 + 2230861824 = 5076^2 + 47232^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 9363480 + ... + 9363720.

Almost surely, 2^2256627600 is an apocalyptic number.

2256627600 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 2256627600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319490307).

2256627600 is an abundant number, since it is smaller than the sum of its proper divisors (6382353014).

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

2256627600 is a wasteful number, since it uses less digits than its factorization.

2256627600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2256627600 is about 47503.9745705557. The cubic root of 2256627600 is about 1311.6560451974.

The spelling of 2256627600 in words is "two billion, two hundred fifty-six million, six hundred twenty-seven thousand, six hundred".