2838162240 has 672 divisors, whose sum is σ = 11383182720. Its totient is φ = 668860416.

The previous prime is 2838162203. The next prime is 2838162247. The reversal of 2838162240 is 422618382.

2838162240 is a `hidden beast` number, since 28 + 3 + 8 + 1 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2838162195 and 2838162204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838162247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25116424 + ... + 25116536.

It is an arithmetic number, because the mean of its divisors is an integer number (16939260).

Almost surely, 2^2838162240 is an apocalyptic number.

2838162240 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 2838162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360).

2838162240 is an abundant number, since it is smaller than the sum of its proper divisors (8545020480).

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

2838162240 is a wasteful number, since it uses less digits than its factorization.

2838162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2838162240 is about 53274.4051116481. The cubic root of 2838162240 is about 1415.8342236263.

The spelling of 2838162240 in words is "two billion, eight hundred thirty-eight million, one hundred sixty-two thousand, two hundred forty".