2868142208 has 64 divisors (see below), whose sum is σ = 5877348120. Its totient is φ = 1393336320.

The previous prime is 2868142181. The next prime is 2868142217. The reversal of 2868142208 is 8022418682.

It can be written as a sum of positive squares in 4 ways, for example, as 824378944 + 2043763264 = 28712^2 + 45208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2868142208² = 16452479450622230528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452710 + ... + 1454682.

Almost surely, 2^2868142208 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 2868142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938674060).

2868142208 is an abundant number, since it is smaller than the sum of its proper divisors (3009205912).

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

2868142208 is a wasteful number, since it uses less digits than its factorization.

2868142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 2868142208 is about 53555.0390532954. The cubic root of 2868142208 is about 1420.8020014919.

The spelling of 2868142208 in words is "two billion, eight hundred sixty-eight million, one hundred forty-two thousand, two hundred eight".