2042585784 has 96 divisors (see below), whose sum is σ = 5832253440. Its totient is φ = 644846400.

The previous prime is 2042585767. The next prime is 2042585789. The reversal of 2042585784 is 4875852402.

2042585784 is a `hidden beast` number, since 20 + 4 + 2 + 58 + 578 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042585789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95169 + ... + 114639.

It is an arithmetic number, because the mean of its divisors is an integer number (60752640).

Almost surely, 2^2042585784 is an apocalyptic number.

2042585784 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 2042585784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916126720).

2042585784 is an abundant number, since it is smaller than the sum of its proper divisors (3789667656).

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

2042585784 is a wasteful number, since it uses less digits than its factorization.

2042585784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19561 (or 19554 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2042585784 is about 45194.9752074277. The cubic root of 2042585784 is about 1268.8007742580.

The spelling of 2042585784 in words is "two billion, forty-two million, five hundred eighty-five thousand, seven hundred eighty-four".