2227824285120 has 2240 divisors, whose sum is σ = 10339558834176. Its totient is φ = 443199651840.

The previous prime is 2227824285119. The next prime is 2227824285187. The reversal of 2227824285120 is 215824287222.

2227824285120 is a `hidden beast` number, since 2 + 2 + 27 + 82 + 428 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2199233734 + ... + 2199234746.

Almost surely, 2^{2227824285120} is an apocalyptic number.

2227824285120 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 2227824285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169779417088).

2227824285120 is an abundant number, since it is smaller than the sum of its proper divisors (8111734549056).

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

2227824285120 is a wasteful number, since it uses less digits than its factorization.

2227824285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 2227824285120 in words is "two trillion, two hundred twenty-seven billion, eight hundred twenty-four million, two hundred eighty-five thousand, one hundred twenty".