2868838560 has 576 divisors, whose sum is σ = 11835113472. Its totient is φ = 642733056.

The previous prime is 2868838541. The next prime is 2868838571. The reversal of 2868838560 is 658388682.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2868838497 and 2868838506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22589217 + ... + 22589343.

It is an arithmetic number, because the mean of its divisors is an integer number (20547072).

Almost surely, 2^2868838560 is an apocalyptic number.

2868838560 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 2868838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917556736).

2868838560 is an abundant number, since it is smaller than the sum of its proper divisors (8966274912).

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

2868838560 is a wasteful number, since it uses less digits than its factorization.

2868838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2868838560 is about 53561.5399330527. The cubic root of 2868838560 is about 1420.9169769923.

The spelling of 2868838560 in words is "two billion, eight hundred sixty-eight million, eight hundred thirty-eight thousand, five hundred sixty".