2842142688 has 576 divisors, whose sum is σ = 11169446400. Its totient is φ = 692858880.

The previous prime is 2842142657. The next prime is 2842142701. The reversal of 2842142688 is 8862412482.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7916653 + ... + 7917011.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^2842142688 is an apocalyptic number.

2842142688 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 2842142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584723200).

2842142688 is an abundant number, since it is smaller than the sum of its proper divisors (8327303712).

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

2842142688 is a wasteful number, since it uses less digits than its factorization.

2842142688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 2842142688 is about 53311.7499994138. The cubic root of 2842142688 is about 1416.4958045437.

It can be divided in two parts, 2842 and 142688, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 2842142688 in words is "two billion, eight hundred forty-two million, one hundred forty-two thousand, six hundred eighty-eight".