2256301600 has 144 divisors (see below), whose sum is σ = 6402715200. Its totient is φ = 760366080.

The previous prime is 2256301573. The next prime is 2256301603. The reversal of 2256301600 is 61036522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2256301603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326986 + ... + 333814.

It is an arithmetic number, because the mean of its divisors is an integer number (44463300).

Almost surely, 2^2256301600 is an apocalyptic number.

2256301600 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 2256301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201357600).

2256301600 is an abundant number, since it is smaller than the sum of its proper divisors (4146413600).

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

2256301600 is a wasteful number, since it uses less digits than its factorization.

2256301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 2256301600 is about 47500.5431547893. The cubic root of 2256301600 is about 1311.5928800768.

The spelling of 2256301600 in words is "two billion, two hundred fifty-six million, three hundred one thousand, six hundred".