2256477600 has 288 divisors, whose sum is σ = 8168477184. Its totient is φ = 537292800.

The previous prime is 2256477593. The next prime is 2256477607. The reversal of 2256477600 is 67746522.

It is a happy number.

2256477600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2256477593) and next prime (2256477607).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2256477607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966034 + ... + 968366.

It is an arithmetic number, because the mean of its divisors is an integer number (28362768).

Almost surely, 2^2256477600 is an apocalyptic number.

2256477600 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 2256477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084238592).

2256477600 is an abundant number, since it is smaller than the sum of its proper divisors (5911999584).

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

2256477600 is a wasteful number, since it uses less digits than its factorization.

2256477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2256477600 is about 47502.3957290577. The cubic root of 2256477600 is about 1311.6269822472.

The spelling of 2256477600 in words is "two billion, two hundred fifty-six million, four hundred seventy-seven thousand, six hundred".