2085658920 has 192 divisors, whose sum is σ = 7187581440. Its totient is φ = 523584000.

The previous prime is 2085658907. The next prime is 2085658933. The reversal of 2085658920 is 298565802.

2085658920 is a `hidden beast` number, since 2 + 0 + 8 + 565 + 89 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2085658907) and next prime (2085658933).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 410395 + ... + 415445.

It is an arithmetic number, because the mean of its divisors is an integer number (37435320).

Almost surely, 2^2085658920 is an apocalyptic number.

2085658920 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 2085658920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593790720).

2085658920 is an abundant number, since it is smaller than the sum of its proper divisors (5101922520).

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

2085658920 is a wasteful number, since it uses less digits than its factorization.

2085658920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2085658920 is about 45669.0148787994. The cubic root of 2085658920 is about 1277.6574423343.

The spelling of 2085658920 in words is "two billion, eighty-five million, six hundred fifty-eight thousand, nine hundred twenty".