2085072384 has 160 divisors (see below), whose sum is σ = 5760193824. Its totient is φ = 669777920.

The previous prime is 2085072377. The next prime is 2085072403. The reversal of 2085072384 is 4832705802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7116142 + ... + 7116434.

Almost surely, 2^2085072384 is an apocalyptic number.

2085072384 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 2085072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880096912).

2085072384 is an abundant number, since it is smaller than the sum of its proper divisors (3675121440).

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

2085072384 is a wasteful number, since it uses less digits than its factorization.

2085072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2085072384 is about 45662.5928304559. The cubic root of 2085072384 is about 1277.5376620675.

The spelling of 2085072384 in words is "two billion, eighty-five million, seventy-two thousand, three hundred eighty-four".