2085415200 has 576 divisors, whose sum is σ = 8414461440. Its totient is φ = 494208000.

The previous prime is 2085415187. The next prime is 2085415207. The reversal of 2085415200 is 25145802.

It is a happy number.

2085415200 is a `hidden beast` number, since 20 + 85 + 41 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2085415207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15919135 + ... + 15919265.

It is an arithmetic number, because the mean of its divisors is an integer number (14608440).

Almost surely, 2^2085415200 is an apocalyptic number.

2085415200 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 2085415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207230720).

2085415200 is an abundant number, since it is smaller than the sum of its proper divisors (6329046240).

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

2085415200 is a wasteful number, since it uses less digits than its factorization.

2085415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2085415200 is about 45666.3464708969. The cubic root of 2085415200 is about 1277.6076734421.

The spelling of 2085415200 in words is "two billion, eighty-five million, four hundred fifteen thousand, two hundred".