2839200 has 216 divisors, whose sum is σ = 11436768. Its totient is φ = 599040.

The previous prime is 2839183. The next prime is 2839201. The reversal of 2839200 is 29382.

It is a super-2 number, since 2×2839200² = 16122113280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2839201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218394 + ... + 218406.

It is an arithmetic number, because the mean of its divisors is an integer number (52948).

2^2839200 is an apocalyptic number.

2839200 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 2839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718384).

2839200 is an abundant number, since it is smaller than the sum of its proper divisors (8597568).

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

2839200 is a wasteful number, since it uses less digits than its factorization.

2839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2839200 is about 1684.9925815860. The cubic root of 2839200 is about 141.6006766861.

The spelling of 2839200 in words is "two million, eight hundred thirty-nine thousand, two hundred".