2085414912 has 216 divisors, whose sum is σ = 7009452450. Its totient is φ = 595574784.

The previous prime is 2085414893. The next prime is 2085414917. The reversal of 2085414912 is 2194145802.

2085414912 is a `hidden beast` number, since 20 + 8 + 541 + 4 + 91 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1467196416 + 618218496 = 38304^2 + 24864^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2085414917) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902014 + ... + 904322.

Almost surely, 2^2085414912 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 2085414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504726225).

2085414912 is an abundant number, since it is smaller than the sum of its proper divisors (4924037538).

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

2085414912 is a wasteful number, since it uses less digits than its factorization.

2085414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2085414912 is about 45666.3433175900. The cubic root of 2085414912 is about 1277.6076146287.

The spelling of 2085414912 in words is "two billion, eighty-five million, four hundred fourteen thousand, nine hundred twelve".