2075200 has 42 divisors (see below), whose sum is σ = 5110226. Its totient is φ = 829440.

The previous prime is 2075197. The next prime is 2075201. The reversal of 2075200 is 25702.

It is a happy number.

2075200 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 1382976 = 832^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2075201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 952 + ... + 2248.

2^2075200 is an apocalyptic number.

2075200 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 2075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555113).

2075200 is an abundant number, since it is smaller than the sum of its proper divisors (3035026).

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

2075200 is a wasteful number, since it uses less digits than its factorization.

2075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 2075200 is about 1440.5554484295. Note that the first 3 decimals coincide. The cubic root of 2075200 is about 127.5518179738.

The spelling of 2075200 in words is "two million, seventy-five thousand, two hundred".