2005431120 has 480 divisors, whose sum is σ = 8548809984. Its totient is φ = 409190400.

The previous prime is 2005431101. The next prime is 2005431187. The reversal of 2005431120 is 211345002.

2005431120 is a `hidden beast` number, since 2 + 0 + 0 + 543 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2005431093 and 2005431102.

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, 3381544 + ... + 3382136.

Almost surely, 2^2005431120 is an apocalyptic number.

2005431120 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 2005431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274404992).

2005431120 is an abundant number, since it is smaller than the sum of its proper divisors (6543378864).

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

2005431120 is a wasteful number, since it uses less digits than its factorization.

2005431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005431120 is about 44782.0401500423. The cubic root of 2005431120 is about 1261.0604828523.

Adding to 2005431120 its reverse (211345002), we get a palindrome (2216776122).

The spelling of 2005431120 in words is "two billion, five million, four hundred thirty-one thousand, one hundred twenty".