2085124608 has 240 divisors, whose sum is σ = 6945269760. Its totient is φ = 589897728.

The previous prime is 2085124571. The next prime is 2085124609. The reversal of 2085124608 is 8064215802.

2085124608 is a `hidden beast` number, since 20 + 8 + 5 + 1 + 24 + 608 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2085124609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096258 + ... + 4096766.

It is an arithmetic number, because the mean of its divisors is an integer number (28938624).

Almost surely, 2^2085124608 is an apocalyptic number.

2085124608 is a gapful number since it is divisible by the number (28) 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 2085124608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472634880).

2085124608 is an abundant number, since it is smaller than the sum of its proper divisors (4860145152).

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

2085124608 is a wasteful number, since it uses less digits than its factorization.

2085124608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2085124608 is about 45663.1646735090. The cubic root of 2085124608 is about 1277.5483279754.

The spelling of 2085124608 in words is "two billion, eighty-five million, one hundred twenty-four thousand, six hundred eight".