2838721200 has 480 divisors, whose sum is σ = 11168142336. Its totient is φ = 601620480.

The previous prime is 2838721133. The next prime is 2838721213. The reversal of 2838721200 is 21278382.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14708304 + ... + 14708496.

Almost surely, 2^2838721200 is an apocalyptic number.

2838721200 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 2838721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584071168).

2838721200 is an abundant number, since it is smaller than the sum of its proper divisors (8329421136).

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

2838721200 is a wasteful number, since it uses less digits than its factorization.

2838721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2838721200 is about 53279.6508997572. The cubic root of 2838721200 is about 1415.9271643726.

Adding to 2838721200 its reverse (21278382), we get a palindrome (2859999582).

The spelling of 2838721200 in words is "two billion, eight hundred thirty-eight million, seven hundred twenty-one thousand, two hundred".