2868955200 has 504 divisors, whose sum is σ = 10868387712. Its totient is φ = 744007680.

The previous prime is 2868955189. The next prime is 2868955211. The reversal of 2868955200 is 25598682.

It is an interprime number because it is at equal distance from previous prime (2868955189) and next prime (2868955211).

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, 18273522 + ... + 18273678.

Almost surely, 2^2868955200 is an apocalyptic number.

2868955200 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 2868955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434193856).

2868955200 is an abundant number, since it is smaller than the sum of its proper divisors (7999432512).

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

2868955200 is a wasteful number, since it uses less digits than its factorization.

2868955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2868955200 is about 53562.6287629724. The cubic root of 2868955200 is about 1420.9362337410.

The spelling of 2868955200 in words is "two billion, eight hundred sixty-eight million, nine hundred fifty-five thousand, two hundred".