2842029120 has 224 divisors, whose sum is σ = 10855756800. Its totient is φ = 615389184.

The previous prime is 2842029107. The next prime is 2842029121. The reversal of 2842029120 is 219202482.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2842029121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116551 + ... + 138809.

It is an arithmetic number, because the mean of its divisors is an integer number (48463200).

Almost surely, 2^2842029120 is an apocalyptic number.

2842029120 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 2842029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427878400).

2842029120 is an abundant number, since it is smaller than the sum of its proper divisors (8013727680).

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

2842029120 is a wasteful number, since it uses less digits than its factorization.

2842029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22305 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2842029120 is about 53310.6848577281. The cubic root of 2842029120 is about 1416.4769372364.

The spelling of 2842029120 in words is "two billion, eight hundred forty-two million, twenty-nine thousand, one hundred twenty".