2881843200 has 468 divisors, whose sum is σ = 10695152520. Its totient is φ = 741212160.

The previous prime is 2881843171. The next prime is 2881843241. The reversal of 2881843200 is 23481882.

It is a happy number.

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

It is a congruent number.

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, 48844771 + ... + 48844829.

It is an arithmetic number, because the mean of its divisors is an integer number (22852890).

Almost surely, 2^2881843200 is an apocalyptic number.

2881843200 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 2881843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347576260).

2881843200 is an abundant number, since it is smaller than the sum of its proper divisors (7813309320).

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

2881843200 is a wasteful number, since it uses less digits than its factorization.

2881843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2881843200 is about 53682.8017152607. The cubic root of 2881843200 is about 1423.0607786298.

It can be divided in two parts, 288 and 1843200, that multiplied together give a square (530841600 = 23040²).

The spelling of 2881843200 in words is "two billion, eight hundred eighty-one million, eight hundred forty-three thousand, two hundred".