2085480432 has 480 divisors, whose sum is σ = 7546739200. Its totient is φ = 544195584.

The previous prime is 2085480431. The next prime is 2085480443. The reversal of 2085480432 is 2340845802.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085480431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19132794 + ... + 19132902.

It is a vampire number, since it can be written as 25308 ⋅ 82404 (with its own digits).

Almost surely, 2^2085480432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085480432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773369600).

2085480432 is an abundant number, since it is smaller than the sum of its proper divisors (5461258768).

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

2085480432 is a wasteful number, since it uses less digits than its factorization.

2085480432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2085480432 is about 45667.0606892977. The cubic root of 2085480432 is about 1277.6209945360.

The spelling of 2085480432 in words is "two billion, eighty-five million, four hundred eighty thousand, four hundred thirty-two".