2868688416 has 96 divisors (see below), whose sum is σ = 8479973376. Its totient is φ = 841248000.

The previous prime is 2868688397. The next prime is 2868688421. The reversal of 2868688416 is 6148868682.

2868688416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11080 + ... + 76551.

It is an arithmetic number, because the mean of its divisors is an integer number (88333056).

Almost surely, 2^2868688416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2868688416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239986688).

2868688416 is an abundant number, since it is smaller than the sum of its proper divisors (5611284960).

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

2868688416 is a wasteful number, since it uses less digits than its factorization.

2868688416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87686 (or 87678 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The square root of 2868688416 is about 53560.1383119947. The cubic root of 2868688416 is about 1420.8921881127.

The spelling of 2868688416 in words is "two billion, eight hundred sixty-eight million, six hundred eighty-eight thousand, four hundred sixteen".