2229841405440 has 1040 divisors, whose sum is σ = 8807353592400. Its totient is φ = 536939642880.

The previous prime is 2229841405439. The next prime is 2229841405471. The reversal of 2229841405440 is 445041489222.

2229841405440 is a `hidden beast` number, since 2 + 2 + 2 + 98 + 4 + 14 + 0 + 544 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 14965378486 + ... + 14965378634.

Almost surely, 2^{2229841405440} is an apocalyptic number.

2229841405440 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 2229841405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403676796200).

2229841405440 is an abundant number, since it is smaller than the sum of its proper divisors (6577512186960).

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

2229841405440 is an frugal number, since it uses more digits than its factorization.

2229841405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2229841405440 in words is "two trillion, two hundred twenty-nine billion, eight hundred forty-one million, four hundred five thousand, four hundred forty".