2047200 has 72 divisors (see below), whose sum is σ = 6671448. Its totient is φ = 545280.

The previous prime is 2047183. The next prime is 2047211. The reversal of 2047200 is 27402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2047200.

It is a congruent number.

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, 1974 + ... + 2826.

It is an arithmetic number, because the mean of its divisors is an integer number (92659).

2^2047200 is an apocalyptic number.

2047200 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 2047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335724).

2047200 is an abundant number, since it is smaller than the sum of its proper divisors (4624248).

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

2047200 is a wasteful number, since it uses less digits than its factorization.

2047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2047200 is about 1430.8039698016. The cubic root of 2047200 is about 126.9755465763.

The spelling of 2047200 in words is "two million, forty-seven thousand, two hundred".