2085495984 has 480 divisors, whose sum is σ = 7400859648. Its totient is φ = 564537600.

The previous prime is 2085495983. The next prime is 2085496003. The reversal of 2085495984 is 4895945802.

It is a happy number.

2085495984 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 49 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2085495984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085495983) 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, 67274049 + ... + 67274079.

Almost surely, 2^2085495984 is an apocalyptic number.

2085495984 is a gapful number since it is divisible by the number (24) 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 2085495984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700429824).

2085495984 is an abundant number, since it is smaller than the sum of its proper divisors (5315363664).

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

2085495984 is a wasteful number, since it uses less digits than its factorization.

2085495984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 2085495984 is about 45667.2309648833. The cubic root of 2085495984 is about 1277.6241703849.

The spelling of 2085495984 in words is "two billion, eighty-five million, four hundred ninety-five thousand, nine hundred eighty-four".