2842121940 has 96 divisors (see below), whose sum is σ = 9104229120. Its totient is φ = 648953856.

The previous prime is 2842121923. The next prime is 2842121963. The reversal of 2842121940 is 491212482.

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 31 ways as a sum of consecutive naturals, for example, 481326 + ... + 487194.

It is an arithmetic number, because the mean of its divisors is an integer number (94835720).

Almost surely, 2^2842121940 is an apocalyptic number.

2842121940 is a gapful number since it is divisible by the number (20) 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 2842121940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552114560).

2842121940 is an abundant number, since it is smaller than the sum of its proper divisors (6262107180).

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

2842121940 is a wasteful number, since it uses less digits than its factorization.

2842121940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2842121940 is about 53311.5554078100. Note that the first 3 decimals coincide. The cubic root of 2842121940 is about 1416.4923576693.

The spelling of 2842121940 in words is "two billion, eight hundred forty-two million, one hundred twenty-one thousand, nine hundred forty".