2868676200 has 288 divisors, whose sum is σ = 10620049440. Its totient is φ = 689472000.

The previous prime is 2868676199. The next prime is 2868676231. The reversal of 2868676200 is 26768682.

It is a happy number.

2868676200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1004775 + ... + 1007625.

Almost surely, 2^2868676200 is an apocalyptic number.

2868676200 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 2868676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310024720).

2868676200 is an abundant number, since it is smaller than the sum of its proper divisors (7751373240).

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

2868676200 is a wasteful number, since it uses less digits than its factorization.

2868676200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2868676200 is about 53560.0242718392. The cubic root of 2868676200 is about 1420.8901712045.

The spelling of 2868676200 in words is "two billion, eight hundred sixty-eight million, six hundred seventy-six thousand, two hundred".