2086528320 has 336 divisors, whose sum is σ = 8002463040. Its totient is φ = 495894528.

The previous prime is 2086528319. The next prime is 2086528351. The reversal of 2086528320 is 238256802.

2086528320 is a `hidden beast` number, since 20 + 86 + 528 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929119 + ... + 931361.

Almost surely, 2^2086528320 is an apocalyptic number.

2086528320 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 2086528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001231520).

2086528320 is an abundant number, since it is smaller than the sum of its proper divisors (5915934720).

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

2086528320 is a wasteful number, since it uses less digits than its factorization.

2086528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2086528320 is about 45678.5323757233. The cubic root of 2086528320 is about 1277.8349467609.

The spelling of 2086528320 in words is "two billion, eighty-six million, five hundred twenty-eight thousand, three hundred twenty".