2868753600 has 504 divisors, whose sum is σ = 10782403632. Its totient is φ = 722534400.

The previous prime is 2868753593. The next prime is 2868753619. The reversal of 2868753600 is 63578682.

2868753600 is a `hidden beast` number, since 286 + 8 + 7 + 5 + 360 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25387144 + ... + 25387256.

It is an arithmetic number, because the mean of its divisors is an integer number (21393658).

Almost surely, 2^2868753600 is an apocalyptic number.

2868753600 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 2868753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391201816).

2868753600 is an abundant number, since it is smaller than the sum of its proper divisors (7913650032).

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

2868753600 is a wasteful number, since it uses less digits than its factorization.

2868753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2868753600 is about 53560.7468207828. The cubic root of 2868753600 is about 1420.9029501430.

The spelling of 2868753600 in words is "two billion, eight hundred sixty-eight million, seven hundred fifty-three thousand, six hundred".