2983200 has 144 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 716800.

The previous prime is 2983181. The next prime is 2983213. The reversal of 2983200 is 23892.

2983200 is nontrivially palindromic in base 7.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26344 + ... + 26456.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

2^2983200 is an apocalyptic number.

2983200 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 2983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

2983200 is an abundant number, since it is smaller than the sum of its proper divisors (7703616).

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

2983200 is a wasteful number, since it uses less digits than its factorization.

2983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

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

The square root of 2983200 is about 1727.1942565907. The cubic root of 2983200 is about 143.9552329978.

The spelling of 2983200 in words is "two million, nine hundred eighty-three thousand, two hundred".