2224186449408 has 1440 divisors, whose sum is σ = 8949225212928. Its totient is φ = 543449088000.

The previous prime is 2224186449379. The next prime is 2224186449409. The reversal of 2224186449408 is 8049446814222.

2224186449408 is a `hidden beast` number, since 2 + 224 + 1 + 8 + 6 + 4 + 4 + 9 + 408 = 666.

2224186449408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224186449409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1140022833 + ... + 1140024783.

Almost surely, 2^{2224186449408} is an apocalyptic number.

2224186449408 is a gapful number since it is divisible by the number (28) 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 2224186449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474612606464).

2224186449408 is an abundant number, since it is smaller than the sum of its proper divisors (6725038763520).

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

2224186449408 is a wasteful number, since it uses less digits than its factorization.

2224186449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 2224186449408 in words is "two trillion, two hundred twenty-four billion, one hundred eighty-six million, four hundred forty-nine thousand, four hundred eight".