2838382560 has 480 divisors, whose sum is σ = 11433768192. Its totient is φ = 656916480.

The previous prime is 2838382531. The next prime is 2838382567. The reversal of 2838382560 is 652838382.

2838382560 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 3 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838382567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2863665 + ... + 2864655.

Almost surely, 2^2838382560 is an apocalyptic number.

2838382560 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 2838382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716884096).

2838382560 is an abundant number, since it is smaller than the sum of its proper divisors (8595385632).

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

2838382560 is a wasteful number, since it uses less digits than its factorization.

2838382560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2838382560 is about 53276.4728562243. The cubic root of 2838382560 is about 1415.8708586620.

The spelling of 2838382560 in words is "two billion, eight hundred thirty-eight million, three hundred eighty-two thousand, five hundred sixty".