2088200 has 48 divisors (see below), whose sum is σ = 4971780. Its totient is φ = 815360.

The previous prime is 2088199. The next prime is 2088217. The reversal of 2088200 is 28802.

It can be written as a sum of positive squares in 6 ways, for example, as 1623076 + 465124 = 1274^2 + 682^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10502 + ... + 10698.

2^2088200 is an apocalyptic number.

2088200 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 2088200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485890).

2088200 is an abundant number, since it is smaller than the sum of its proper divisors (2883580).

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

2088200 is a wasteful number, since it uses less digits than its factorization.

2088200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2088200 is about 1445.0605523645. The cubic root of 2088200 is about 127.8176113295.

The spelling of 2088200 in words is "two million, eighty-eight thousand, two hundred".