2085181520 has 80 divisors (see below), whose sum is σ = 5016345600. Its totient is φ = 805248000.

The previous prime is 2085181493. The next prime is 2085181589. The reversal of 2085181520 is 251815802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1489781 + ... + 1491179.

It is an arithmetic number, because the mean of its divisors is an integer number (62704320).

Almost surely, 2^2085181520 is an apocalyptic number.

2085181520 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 2085181520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508172800).

2085181520 is an abundant number, since it is smaller than the sum of its proper divisors (2931164080).

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

2085181520 is a wasteful number, since it uses less digits than its factorization.

2085181520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 2085181520 is about 45663.7878411329. The cubic root of 2085181520 is about 1277.5599511287.

The spelling of 2085181520 in words is "two billion, eighty-five million, one hundred eighty-one thousand, five hundred twenty".