2842034688 has 240 divisors, whose sum is σ = 8686694016. Its totient is φ = 927313920.

The previous prime is 2842034683. The next prime is 2842034711. The reversal of 2842034688 is 8864302482.

2842034688 is a `hidden beast` number, since 284 + 20 + 346 + 8 + 8 = 666.

It is a super-2 number, since 2×2842034688² = 16154322335590514688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2842034683) 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, 6593833 + ... + 6594263.

Almost surely, 2^2842034688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343347008).

2842034688 is an abundant number, since it is smaller than the sum of its proper divisors (5844659328).

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

2842034688 is an frugal number, since it uses more digits than its factorization.

2842034688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2842034688 is about 53310.7370798791. The cubic root of 2842034688 is about 1416.4778622725.

The spelling of 2842034688 in words is "two billion, eight hundred forty-two million, thirty-four thousand, six hundred eighty-eight".