2031180480 has 336 divisors, whose sum is σ = 8139403584. Its totient is φ = 455270400.

The previous prime is 2031180479. The next prime is 2031180493. The reversal of 2031180480 is 840811302.

2031180480 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 180 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067530 + ... + 1069430.

Almost surely, 2^2031180480 is an apocalyptic number.

2031180480 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 2031180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069701792).

2031180480 is an abundant number, since it is smaller than the sum of its proper divisors (6108223104).

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

2031180480 is a wasteful number, since it uses less digits than its factorization.

2031180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2031180480 is about 45068.6196815478. The cubic root of 2031180480 is about 1266.4348064377.

Adding to 2031180480 its reverse (840811302), we get a palindrome (2871991782).

The spelling of 2031180480 in words is "two billion, thirty-one million, one hundred eighty thousand, four hundred eighty".