2838706560 has 192 divisors, whose sum is σ = 10166017680. Its totient is φ = 756946944.

The previous prime is 2838706537. The next prime is 2838706579. The reversal of 2838706560 is 656078382.

2838706560 is a `hidden beast` number, since 2 + 8 + 3 + 87 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146394 + ... + 164646.

Almost surely, 2^2838706560 is an apocalyptic number.

2838706560 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 2838706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083008840).

2838706560 is an abundant number, since it is smaller than the sum of its proper divisors (7327311120).

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

2838706560 is an equidigital number, since it uses as much as digits as its factorization.

2838706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18287 (or 18263 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2838706560 is about 53279.5135112925. The cubic root of 2838706560 is about 1415.9247302707.

The spelling of 2838706560 in words is "two billion, eight hundred thirty-eight million, seven hundred six thousand, five hundred sixty".