2005223091480 has 384 divisors, whose sum is σ = 7633692218880. Its totient is φ = 446919690240.

The previous prime is 2005223091451. The next prime is 2005223091499. The reversal of 2005223091480 is 841903225002.

It is a happy number.

2005223091480 is a `hidden beast` number, since 2 + 0 + 0 + 522 + 3 + 0 + 91 + 48 + 0 = 666.

It is a Cunningham number, because it is equal to 1416059²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254886507 + ... + 254894373.

It is an arithmetic number, because the mean of its divisors is an integer number (19879406820).

Almost surely, 2^{2005223091480} is an apocalyptic number.

2005223091480 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 2005223091480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816846109440).

2005223091480 is an abundant number, since it is smaller than the sum of its proper divisors (5628469127400).

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

2005223091480 is a wasteful number, since it uses less digits than its factorization.

2005223091480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2005223091480 in words is "two trillion, five billion, two hundred twenty-three million, ninety-one thousand, four hundred eighty".