2868033600 has 252 divisors, whose sum is σ = 10268955840. Its totient is φ = 759168000.

The previous prime is 2868033589. The next prime is 2868033647. The reversal of 2868033600 is 63308682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2173741 + ... + 2175059.

Almost surely, 2^2868033600 is an apocalyptic number.

2868033600 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 2868033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134477920).

2868033600 is an abundant number, since it is smaller than the sum of its proper divisors (7400922240).

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

2868033600 is a wasteful number, since it uses less digits than its factorization.

2868033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2868033600 is about 53554.0250588133. The cubic root of 2868033600 is about 1420.7840674193.

The spelling of 2868033600 in words is "two billion, eight hundred sixty-eight million, thirty-three thousand, six hundred".