2086208000 has 160 divisors (see below), whose sum is σ = 5348751408. Its totient is φ = 811008000.

The previous prime is 2086207969. The next prime is 2086208009. The reversal of 2086208000 is 8026802.

It can be written as a sum of positive squares in 8 ways, for example, as 109160704 + 1977047296 = 10448^2 + 44464^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2086208009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367560 + ... + 2368440.

Almost surely, 2^2086208000 is an apocalyptic number.

2086208000 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 2086208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674375704).

2086208000 is an abundant number, since it is smaller than the sum of its proper divisors (3262543408).

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

2086208000 is an frugal number, since it uses more digits than its factorization.

2086208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2086208000 is about 45675.0259988979. The cubic root of 2086208000 is about 1277.7695531222.

The spelling of 2086208000 in words is "two billion, eighty-six million, two hundred eight thousand".