2256222506400 has 216 divisors, whose sum is σ = 7986262284000. Its totient is φ = 599371153920.

The previous prime is 2256222506359. The next prime is 2256222506401. The reversal of 2256222506400 is 46052226522.

2256222506400 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 2 + 2 + 5 + 0 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2256222506401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1297851 + ... + 2489349.

It is an arithmetic number, because the mean of its divisors is an integer number (36973436500).

Almost surely, 2^{2256222506400} is an apocalyptic number.

2256222506400 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 2256222506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993131142000).

2256222506400 is an abundant number, since it is smaller than the sum of its proper divisors (5730039777600).

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

2256222506400 is a wasteful number, since it uses less digits than its factorization.

2256222506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191788 (or 1191772 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2256222506400 in words is "two trillion, two hundred fifty-six billion, two hundred twenty-two million, five hundred six thousand, four hundred".