2838876660 has 288 divisors, whose sum is σ = 9444314880. Its totient is φ = 714396672.

The previous prime is 2838876617. The next prime is 2838876701. The reversal of 2838876660 is 666788382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2838876597 and 2838876606.

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 95 ways as a sum of consecutive naturals, for example, 12183904 + ... + 12184136.

It is an arithmetic number, because the mean of its divisors is an integer number (32792760).

Almost surely, 2^2838876660 is an apocalyptic number.

2838876660 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 2838876660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722157440).

2838876660 is an abundant number, since it is smaller than the sum of its proper divisors (6605438220).

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

2838876660 is a wasteful number, since it uses less digits than its factorization.

2838876660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2838876660 is about 53281.1097857393. The cubic root of 2838876660 is about 1415.9530112244.

The spelling of 2838876660 in words is "two billion, eight hundred thirty-eight million, eight hundred seventy-six thousand, six hundred sixty".