2958200 has 48 divisors (see below), whose sum is σ = 7864080. Its totient is φ = 1013760.

The previous prime is 2958173. The next prime is 2958223. The reversal of 2958200 is 28592.

2958200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2958200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344 + ... + 2456.

It is an arithmetic number, because the mean of its divisors is an integer number (163835).

2^2958200 is an apocalyptic number.

2958200 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 2958200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932040).

2958200 is an abundant number, since it is smaller than the sum of its proper divisors (4905880).

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

2958200 is a wasteful number, since it uses less digits than its factorization.

2958200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2958200 is about 1719.9418594825. The cubic root of 2958200 is about 143.5519768655.

The spelling of 2958200 in words is "two million, nine hundred fifty-eight thousand, two hundred".