2256224538420 has 144 divisors (see below), whose sum is σ = 6870452359680. Its totient is φ = 599325350400.

The previous prime is 2256224538383. The next prime is 2256224538427. The reversal of 2256224538420 is 248354226522.

2256224538420 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 245 + 384 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256224538427) 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, 228566085 + ... + 228575955.

It is an arithmetic number, because the mean of its divisors is an integer number (47711474720).

Almost surely, 2^{2256224538420} is an apocalyptic number.

2256224538420 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 2256224538420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435226179840).

2256224538420 is an abundant number, since it is smaller than the sum of its proper divisors (4614227821260).

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

2256224538420 is a wasteful number, since it uses less digits than its factorization.

2256224538420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 2256224538420 in words is "two trillion, two hundred fifty-six billion, two hundred twenty-four million, five hundred thirty-eight thousand, four hundred twenty".