2071800 has 72 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 552000.

The previous prime is 2071799. The next prime is 2071801. The reversal of 2071800 is 81702.

It is an interprime number because it is at equal distance from previous prime (2071799) and next prime (2071801).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1225 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

2^2071800 is an apocalyptic number.

2071800 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 2071800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2071800 is an abundant number, since it is smaller than the sum of its proper divisors (4892040).

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

2071800 is a wasteful number, since it uses less digits than its factorization.

2071800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2071800 is about 1439.3748643074. The cubic root of 2071800 is about 127.4821197533.

The spelling of 2071800 in words is "two million, seventy-one thousand, eight hundred".