2868687360 has 960 divisors, whose sum is σ = 13061664000. Its totient is φ = 596090880.

The previous prime is 2868687359. The next prime is 2868687361. The reversal of 2868687360 is 637868682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2868687359) and next prime (2868687361).

It is a tau number, because it is divible by the number of its divisors (960).

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 = 2868687297 and 2868687306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868687361) 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, 260789755 + ... + 260789765.

It is an arithmetic number, because the mean of its divisors is an integer number (13605900).

Almost surely, 2^2868687360 is an apocalyptic number.

2868687360 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 2868687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530832000).

2868687360 is an abundant number, since it is smaller than the sum of its proper divisors (10192976640).

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

2868687360 is an equidigital number, since it uses as much as digits as its factorization.

2868687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

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

The square root of 2868687360 is about 53560.1284539162. The cubic root of 2868687360 is about 1420.8920137633.

The spelling of 2868687360 in words is "two billion, eight hundred sixty-eight million, six hundred eighty-seven thousand, three hundred sixty".